540573264 has 200 divisors, whose sum is σ = 1951000128. Its totient is φ = 140382720.

The previous prime is 540573251. The next prime is 540573289. The reversal of 540573264 is 462375045.

540573264 is a `hidden beast` number, since 540 + 57 + 3 + 2 + 64 = 666.

It is a super-2 number, since 2×540573264² = 584438907503227392, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97084 + ... + 102500.

Almost surely, 2^540573264 is an apocalyptic number.

540573264 is a gapful number since it is divisible by the number (54) 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 540573264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975500064).

540573264 is an abundant number, since it is smaller than the sum of its proper divisors (1410426864).

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

540573264 is a wasteful number, since it uses less digits than its factorization.

540573264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5455 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 540573264 is about 23250.2314827186. The cubic root of 540573264 is about 814.6133456416.

The spelling of 540573264 in words is "five hundred forty million, five hundred seventy-three thousand, two hundred sixty-four".