230464032 has 24 divisors (see below), whose sum is σ = 604968336. Its totient is φ = 76821312.

The previous prime is 230464027. The next prime is 230464043.

It is a happy number.

230464032 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×230464032² = 106227340091394048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230463993 and 230464011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1200238 + ... + 1200429.

It is an arithmetic number, because the mean of its divisors is an integer number (25207014).

Almost surely, 2^230464032 is an apocalyptic number.

It is an amenable number.

230464032 is an abundant number, since it is smaller than the sum of its proper divisors (374504304).

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

230464032 is a wasteful number, since it uses less digits than its factorization.

230464032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400680 (or 2400672 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 230464032 is about 15181.0418614797. The cubic root of 230464032 is about 613.1043326980.

The spelling of 230464032 in words is "two hundred thirty million, four hundred sixty-four thousand, thirty-two".