264553380 has 288 divisors, whose sum is σ = 1021483008. Its totient is φ = 53913600.

The previous prime is 264553363. The next prime is 264553391. The reversal of 264553380 is 83355462.

It is a happy number.

264553380 is a `hidden beast` number, since 2 + 6 + 45 + 533 + 80 = 666.

264553380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507520 + ... + 508040.

It is an arithmetic number, because the mean of its divisors is an integer number (3546816).

Almost surely, 2^264553380 is an apocalyptic number.

264553380 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 264553380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510741504).

264553380 is an abundant number, since it is smaller than the sum of its proper divisors (756929628).

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

264553380 is a wasteful number, since it uses less digits than its factorization.

264553380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 264553380 is about 16265.0969871071. The cubic root of 264553380 is about 641.9547818037.

The spelling of 264553380 in words is "two hundred sixty-four million, five hundred fifty-three thousand, three hundred eighty".