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468680478 = 237431391867
BaseRepresentation
bin11011111011110…
…111111100011110
31012122220102202020
4123323313330132
51424440233403
6114301241010
714420501250
oct3373677436
91178812666
10468680478
11220615642
12110b63166
137613a636
1446361cd0
152b22d453
hex1bef7f1e

468680478 has 64 divisors (see below), whose sum is σ = 1104660480. Its totient is φ = 129784032.

The previous prime is 468680473. The next prime is 468680519. The reversal of 468680478 is 874086864.

It is a super-2 number, since 2×4686804782 = 439322780916616968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 468680478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468680473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250101 + ... + 251967.

It is an arithmetic number, because the mean of its divisors is an integer number (17260320).

Almost surely, 2468680478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468680478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552330240).

468680478 is an abundant number, since it is smaller than the sum of its proper divisors (635980002).

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

468680478 is a wasteful number, since it uses less digits than its factorization.

468680478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061.

The product of its (nonzero) digits is 2064384, while the sum is 51.

The square root of 468680478 is about 21649.0294932590. The cubic root of 468680478 is about 776.7697208531.

The spelling of 468680478 in words is "four hundred sixty-eight million, six hundred eighty thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 139 258 278 301 417 602 834 903 973 1806 1867 1946 2919 3734 5601 5838 5977 11202 11954 13069 17931 26138 35862 39207 41839 78414 80281 83678 125517 160562 240843 251034 259513 481686 519026 561967 778539 1123934 1557078 1685901 1816591 3371802 3633182 5449773 10899546 11159059 22318118 33477177 66954354 78113413 156226826 234340239 468680478