231504000 has 512 divisors, whose sum is σ = 962357760. Its totient is φ = 47923200.

The previous prime is 231503971. The next prime is 231504029. The reversal of 231504000 is 405132.

It is an interprime number because it is at equal distance from previous prime (231503971) and next prime (231504029).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4367974 + ... + 4368026.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 2^231504000 is an apocalyptic number.

231504000 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 231504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481178880).

231504000 is an abundant number, since it is smaller than the sum of its proper divisors (730853760).

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

231504000 is a wasteful number, since it uses less digits than its factorization.

231504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 231504000 is about 15215.2555022911. The cubic root of 231504000 is about 614.0251592714.

Adding to 231504000 its reverse (405132), we get a palindrome (231909132).

The spelling of 231504000 in words is "two hundred thirty-one million, five hundred four thousand".