468880196400 has 900 divisors, whose sum is σ = 2135547077400. Its totient is φ = 97426022400.

The previous prime is 468880196399. The next prime is 468880196423. The reversal of 468880196400 is 4691088864.

468880196400 is a `hidden beast` number, since 46 + 8 + 8 + 8 + 0 + 196 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×468880196400² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 17450176 + ... + 17477024.

It is an arithmetic number, because the mean of its divisors is an integer number (2372830086).

Almost surely, 2^468880196400 is an apocalyptic number.

468880196400 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 468880196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067773538700).

468880196400 is an abundant number, since it is smaller than the sum of its proper divisors (1666666881000).

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

468880196400 is a wasteful number, since it uses less digits than its factorization.

468880196400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26904 (or 26877 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 468880196400 in words is "four hundred sixty-eight billion, eight hundred eighty million, one hundred ninety-six thousand, four hundred".