52620480 has 252 divisors, whose sum is σ = 200259696. Its totient is φ = 12672000.

The previous prime is 52620461. The next prime is 52620497. The reversal of 52620480 is 8402625.

52620480 = 951² + 952² + ... + 1005².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348405 + ... + 348555.

Almost surely, 2^52620480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100129848).

52620480 is an abundant number, since it is smaller than the sum of its proper divisors (147639216).

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

52620480 is a wasteful number, since it uses less digits than its factorization.

52620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 52620480 is about 7253.9975186100. The cubic root of 52620480 is about 374.7298320715.

The spelling of 52620480 in words is "fifty-two million, six hundred twenty thousand, four hundred eighty".