264493620 has 48 divisors (see below), whose sum is σ = 822870720. Its totient is φ = 70531488.

The previous prime is 264493613. The next prime is 264493627. The reversal of 264493620 is 26394462.

264493620 is a `hidden beast` number, since 2 + 644 + 9 + 3 + 6 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (264493613) and next prime (264493627).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264493627) 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, 244362 + ... + 245441.

It is an arithmetic number, because the mean of its divisors is an integer number (17143140).

Almost surely, 2^264493620 is an apocalyptic number.

264493620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264493620 is an abundant number, since it is smaller than the sum of its proper divisors (558377100).

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

264493620 is a wasteful number, since it uses less digits than its factorization.

264493620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489821 (or 489813 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 264493620 is about 16263.2598208354. The cubic root of 264493620 is about 641.9064410785.

The spelling of 264493620 in words is "two hundred sixty-four million, four hundred ninety-three thousand, six hundred twenty".