264786820 has 24 divisors (see below), whose sum is σ = 575227800. Its totient is φ = 102262272.

The previous prime is 264786811. The next prime is 264786839. The reversal of 264786820 is 28687462.

It can be written as a sum of positive squares in 4 ways, for example, as 93857344 + 170929476 = 9688^2 + 13074^2 .

It is a super-2 number, since 2×264786820² = 140224120091424800, which contains 22 as substring.

It is an unprimeable number.

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, 227685 + ... + 228844.

It is an arithmetic number, because the mean of its divisors is an integer number (23967825).

Almost surely, 2^264786820 is an apocalyptic number.

264786820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264786820 is an abundant number, since it is smaller than the sum of its proper divisors (310440980).

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

264786820 is a wasteful number, since it uses less digits than its factorization.

264786820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456567 (or 456565 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 264786820 is about 16272.2715070761. The cubic root of 264786820 is about 642.1435450544.

The spelling of 264786820 in words is "two hundred sixty-four million, seven hundred eighty-six thousand, eight hundred twenty".