264386820 has 48 divisors (see below), whose sum is σ = 745956288. Its totient is φ = 69962880.

The previous prime is 264386783. The next prime is 264386821. The reversal of 264386820 is 28683462.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (264386821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8959 + ... + 24678.

It is an arithmetic number, because the mean of its divisors is an integer number (15540756).

Almost surely, 2^264386820 is an apocalyptic number.

264386820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264386820 is an abundant number, since it is smaller than the sum of its proper divisors (481569468).

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

264386820 is a wasteful number, since it uses less digits than its factorization.

264386820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33780 (or 33778 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 264386820 is about 16259.9760147425. The cubic root of 264386820 is about 641.8200308816.

The spelling of 264386820 in words is "two hundred sixty-four million, three hundred eighty-six thousand, eight hundred twenty".