230400408 has 32 divisors (see below), whose sum is σ = 658287360. Its totient is φ = 65828640.

The previous prime is 230400397. The next prime is 230400413. The reversal of 230400408 is 804004032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 685548 + ... + 685883.

It is an arithmetic number, because the mean of its divisors is an integer number (20571480).

Almost surely, 2^230400408 is an apocalyptic number.

230400408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

230400408 is an abundant number, since it is smaller than the sum of its proper divisors (427886952).

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

230400408 is a wasteful number, since it uses less digits than its factorization.

230400408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371447 (or 1371443 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 230400408 is about 15178.9462084823. The cubic root of 230400408 is about 613.0479077830.

The spelling of 230400408 in words is "two hundred thirty million, four hundred thousand, four hundred eight".