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461572380 = 223256738273
BaseRepresentation
bin11011100000110…
…000100100011100
31012011112022021100
4123200300210130
51421130304010
6113445033100
714303205033
oct3340604434
91164468240
10461572380
11217600185
1210a6b5790
137481c169
144543171a
152a7c72c0
hex1b83091c

461572380 has 72 divisors (see below), whose sum is σ = 1421037072. Its totient is φ = 121245696.

The previous prime is 461572369. The next prime is 461572409. The reversal of 461572380 is 83275164.

461572380 is a `hidden beast` number, since 4 + 6 + 1 + 572 + 3 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7077 + ... + 31196.

It is an arithmetic number, because the mean of its divisors is an integer number (19736626).

Almost surely, 2461572380 is an apocalyptic number.

It is an amenable number.

461572380 is an abundant number, since it is smaller than the sum of its proper divisors (959464692).

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

461572380 is a wasteful number, since it uses less digits than its factorization.

461572380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38355 (or 38350 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 461572380 is about 21484.2356159115. The cubic root of 461572380 is about 772.8228204300.

The spelling of 461572380 in words is "four hundred sixty-one million, five hundred seventy-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 38273 76546 114819 153092 191365 229638 344457 382730 459276 574095 688914 765460 1148190 1377828 1722285 2296380 2564291 3444570 5128582 6889140 7692873 10257164 12821455 15385746 23078619 25642910 30771492 38464365 46157238 51285820 76928730 92314476 115393095 153857460 230786190 461572380