231753408 has 56 divisors (see below), whose sum is σ = 617372400. Its totient is φ = 76723200.

The previous prime is 231753407. The next prime is 231753409. The reversal of 231753408 is 804357132.

231753408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231753407) and next prime (231753409).

It is a super-2 number, since 2×231753408² = 107419284239228928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231753407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24558 + ... + 32658.

Almost surely, 2^231753408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231753408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308686200).

231753408 is an abundant number, since it is smaller than the sum of its proper divisors (385618992).

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

231753408 is a wasteful number, since it uses less digits than its factorization.

231753408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 231753408 is about 15223.4492806328. The cubic root of 231753408 is about 614.2455842954.

The spelling of 231753408 in words is "two hundred thirty-one million, seven hundred fifty-three thousand, four hundred eight".