264979720 has 32 divisors (see below), whose sum is σ = 610749720. Its totient is φ = 103406080.

The previous prime is 264979709. The next prime is 264979721. The reversal of 264979720 is 27979462.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 165019716 + 99960004 = 12846^2 + 9998^2 .

It is a super-2 number, since 2×264979720² = 140428504022556800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264979721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79147 + ... + 82426.

Almost surely, 2^264979720 is an apocalyptic number.

264979720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264979720 is an abundant number, since it is smaller than the sum of its proper divisors (345770000).

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

264979720 is a wasteful number, since it uses less digits than its factorization.

264979720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161625 (or 161621 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 264979720 is about 16278.1976889335. The cubic root of 264979720 is about 642.2994433250.

It can be divided in two parts, 2649 and 79720, that added together give a square (82369 = 287²).

The spelling of 264979720 in words is "two hundred sixty-four million, nine hundred seventy-nine thousand, seven hundred twenty".