264482640 has 120 divisors (see below), whose sum is σ = 897261768. Its totient is φ = 69811200.

The previous prime is 264482633. The next prime is 264482749. The reversal of 264482640 is 46284462.

It is a happy number.

264482640 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 8 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23736384 + 240746256 = 4872^2 + 15516^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×264482640² = 139902133722739200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 264482595 and 264482604.

It is a congruent number.

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, 70902 + ... + 74538.

Almost surely, 2^264482640 is an apocalyptic number.

264482640 is a gapful number since it is divisible by the number (20) 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 264482640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448630884).

264482640 is an abundant number, since it is smaller than the sum of its proper divisors (632779128).

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

264482640 is a wasteful number, since it uses less digits than its factorization.

264482640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 264482640 is about 16262.9222466321. The cubic root of 264482640 is about 641.8975584064.

The spelling of 264482640 in words is "two hundred sixty-four million, four hundred eighty-two thousand, six hundred forty".