468313560 has 288 divisors, whose sum is σ = 1803831120. Its totient is φ = 104670720.

The previous prime is 468313553. The next prime is 468313561. The reversal of 468313560 is 65313864.

468313560 is a `hidden beast` number, since 4 + 6 + 83 + 13 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468313561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 565867 + ... + 566693.

Almost surely, 2^468313560 is an apocalyptic number.

468313560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468313560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901915560).

468313560 is an abundant number, since it is smaller than the sum of its proper divisors (1335517560).

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

468313560 is a wasteful number, since it uses less digits than its factorization.

468313560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 468313560 is about 21640.5535973551. The cubic root of 468313560 is about 776.5669635276.

It can be divided in two parts, 468 and 313560, that added together give a triangular number (314028 = T₇₉₂).

The spelling of 468313560 in words is "four hundred sixty-eight million, three hundred thirteen thousand, five hundred sixty".