231872678400 has 960 divisors, whose sum is σ = 903105054720. Its totient is φ = 51850444800.

The previous prime is 231872678383. The next prime is 231872678447. The reversal of 231872678400 is 4876278132.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×231872678400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 231872678400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281740389 + ... + 281741211.

It is an arithmetic number, because the mean of its divisors is an integer number (940734432).

Almost surely, 2^231872678400 is an apocalyptic number.

231872678400 is a gapful number since it is divisible by the number (20) 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 231872678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451552527360).

231872678400 is an abundant number, since it is smaller than the sum of its proper divisors (671232376320).

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

231872678400 is a wasteful number, since it uses less digits than its factorization.

231872678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 231872678400 in words is "two hundred thirty-one billion, eight hundred seventy-two million, six hundred seventy-eight thousand, four hundred".