230411664 has 120 divisors (see below), whose sum is σ = 741648960. Its totient is φ = 65412864.

The previous prime is 230411653. The next prime is 230411707. The reversal of 230411664 is 466114032.

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, 179794 + ... + 181070.

It is an arithmetic number, because the mean of its divisors is an integer number (6180408).

Almost surely, 2^230411664 is an apocalyptic number.

230411664 is a gapful number since it is divisible by the number (24) 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 230411664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370824480).

230411664 is an abundant number, since it is smaller than the sum of its proper divisors (511237296).

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

230411664 is a wasteful number, since it uses less digits than its factorization.

230411664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 230411664 is about 15179.3169806813. The cubic root of 230411664 is about 613.0578909176.

Adding to 230411664 its reverse (466114032), we get a palindrome (696525696).

It can be divided in two parts, 2304 and 11664, that multiplied together give a 4-th power (26873856 = 72⁴).

The spelling of 230411664 in words is "two hundred thirty million, four hundred eleven thousand, six hundred sixty-four".