231408000 has 192 divisors, whose sum is σ = 831561120. Its totient is φ = 61670400.

The previous prime is 231407999. The next prime is 231408013. The reversal of 231408000 is 804132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 143197 + ... + 144803.

Almost surely, 2^231408000 is an apocalyptic number.

231408000 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 231408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415780560).

231408000 is an abundant number, since it is smaller than the sum of its proper divisors (600153120).

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

231408000 is a wasteful number, since it uses less digits than its factorization.

231408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 231408000 is about 15212.1004466839. The cubic root of 231408000 is about 613.9402729553.

The spelling of 231408000 in words is "two hundred thirty-one million, four hundred eight thousand".