468509461875 has 240 divisors, whose sum is σ = 1043017527552. Its totient is φ = 197279712000.

The previous prime is 468509461837. The next prime is 468509461879. The reversal of 468509461875 is 578164905864.

468509461875 is a `hidden beast` number, since 4 + 6 + 8 + 5 + 0 + 9 + 4 + 618 + 7 + 5 = 666.

It is not a de Polignac number, because 468509461875 - 2⁸ = 468509461619 is a prime.

It is a super-2 number, since 2×468509461875² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (468509461879) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 402845044 + ... + 402846206.

Almost surely, 2^468509461875 is an apocalyptic number.

468509461875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

468509461875 is an abundant number, since it is smaller than the sum of its proper divisors (574508065677).

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

468509461875 is a wasteful number, since it uses less digits than its factorization.

468509461875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 468509461875 in words is "four hundred sixty-eight billion, five hundred nine million, four hundred sixty-one thousand, eight hundred seventy-five".