264290720 has 48 divisors (see below), whose sum is σ = 626308200. Its totient is φ = 105391104.

The previous prime is 264290713. The next prime is 264290737. The reversal of 264290720 is 27092462.

It can be written as a sum of positive squares in 4 ways, for example, as 199713424 + 64577296 = 14132^2 + 8036^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53474 + ... + 58206.

Almost surely, 2^264290720 is an apocalyptic number.

264290720 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 264290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313154100).

264290720 is an abundant number, since it is smaller than the sum of its proper divisors (362017480).

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

264290720 is a wasteful number, since it uses less digits than its factorization.

264290720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 264290720 is about 16257.0206372508. The cubic root of 264290720 is about 641.7422579937.

The spelling of 264290720 in words is "two hundred sixty-four million, two hundred ninety thousand, seven hundred twenty".