264251232 has 288 divisors, whose sum is σ = 924618240. Its totient is φ = 69949440.

The previous prime is 264251227. The next prime is 264251261. The reversal of 264251232 is 232152462.

It is a happy number.

264251232 is a `hidden beast` number, since 2 + 6 + 425 + 1 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×264251232² = 139657427227035648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264251196 and 264251205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1901019 + ... + 1901157.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^264251232 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 264251232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462309120).

264251232 is an abundant number, since it is smaller than the sum of its proper divisors (660367008).

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

264251232 is a wasteful number, since it uses less digits than its factorization.

264251232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 264251232 is about 16255.8061012058. The cubic root of 264251232 is about 641.7102952363.

The spelling of 264251232 in words is "two hundred sixty-four million, two hundred fifty-one thousand, two hundred thirty-two".