230465376 has 72 divisors (see below), whose sum is σ = 660651264. Its totient is φ = 76204800.

The previous prime is 230465369. The next prime is 230465419. The reversal of 230465376 is 673564032.

230465376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×230465376² = 106228579069642752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 230465376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33426 + ... + 39726.

It is an arithmetic number, because the mean of its divisors is an integer number (9175712).

Almost surely, 2^230465376 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 230465376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330325632).

230465376 is an abundant number, since it is smaller than the sum of its proper divisors (430185888).

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

230465376 is a wasteful number, since it uses less digits than its factorization.

230465376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444 (or 6433 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 230465376 is about 15181.0861271518. The cubic root of 230465376 is about 613.1055245118.

The spelling of 230465376 in words is "two hundred thirty million, four hundred sixty-five thousand, three hundred seventy-six".