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466071444 = 2232195911549
BaseRepresentation
bin11011110001111…
…010111110010100
31012110222212211100
4123301322332110
51423303241234
6114125310100
714356353606
oct3361727624
91173885740
10466071444
1121a0a3413
12110105330
1375735c27
1445c83176
152adb5399
hex1bc7af94

466071444 has 72 divisors (see below), whose sum is σ = 1261260000. Its totient is φ = 144673344.

The previous prime is 466071443. The next prime is 466071457. The reversal of 466071444 is 444170664.

466071444 is a `hidden beast` number, since 4 + 6 + 607 + 1 + 4 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 466071399 and 466071408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466071443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34582 + ... + 46130.

It is an arithmetic number, because the mean of its divisors is an integer number (17517500).

Almost surely, 2466071444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466071444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630630000).

466071444 is an abundant number, since it is smaller than the sum of its proper divisors (795188556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466071444 is a wasteful number, since it uses less digits than its factorization.

466071444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11637 (or 11632 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 466071444 is about 21588.6878711977. The cubic root of 466071444 is about 775.3256731843.

The spelling of 466071444 in words is "four hundred sixty-six million, seventy-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 59 76 114 118 171 177 228 236 342 354 531 684 708 1062 1121 2124 2242 3363 4484 6726 10089 11549 13452 20178 23098 34647 40356 46196 69294 103941 138588 207882 219431 415764 438862 658293 681391 877724 1316586 1362782 1974879 2044173 2633172 2725564 3949758 4088346 6132519 7899516 8176692 12265038 12946429 24530076 25892858 38839287 51785716 77678574 116517861 155357148 233035722 466071444