468881524800 has 504 divisors, whose sum is σ = 1861199931136. Its totient is φ = 115415746560.

The previous prime is 468881524781. The next prime is 468881524807. The reversal of 468881524800 is 8425188864.

468881524800 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 8 + 152 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (468881524807) 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, 5008017 + ... + 5100783.

Almost surely, 2^468881524800 is an apocalyptic number.

468881524800 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 468881524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930599965568).

468881524800 is an abundant number, since it is smaller than the sum of its proper divisors (1392318406336).

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

468881524800 is a wasteful number, since it uses less digits than its factorization.

468881524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92817 (or 92790 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 468881524800 in words is "four hundred sixty-eight billion, eight hundred eighty-one million, five hundred twenty-four thousand, eight hundred".