468312182400 has 384 divisors, whose sum is σ = 1632054916800. Its totient is φ = 117700853760.

The previous prime is 468312182363. The next prime is 468312182417. The reversal of 468312182400 is 4281213864.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35926284 + ... + 35939316.

Almost surely, 2^468312182400 is an apocalyptic number.

468312182400 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 468312182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816027458400).

468312182400 is an abundant number, since it is smaller than the sum of its proper divisors (1163742734400).

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

468312182400 is a wasteful number, since it uses less digits than its factorization.

468312182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13276 (or 13259 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 468312182400 in words is "four hundred sixty-eight billion, three hundred twelve million, one hundred eighty-two thousand, four hundred".