231390400 has 168 divisors, whose sum is σ = 619085376. Its totient is φ = 84787200.

The previous prime is 231390371. The next prime is 231390431. The reversal of 231390400 is 4093132.

231390400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1278310 + ... + 1278490.

It is an arithmetic number, because the mean of its divisors is an integer number (3685032).

Almost surely, 2^231390400 is an apocalyptic number.

231390400 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 231390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309542688).

231390400 is an abundant number, since it is smaller than the sum of its proper divisors (387694976).

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

231390400 is a wasteful number, since it uses less digits than its factorization.

231390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 231390400 is about 15211.5219488386. The cubic root of 231390400 is about 613.9247079176.

The spelling of 231390400 in words is "two hundred thirty-one million, three hundred ninety thousand, four hundred".