52980480 has 360 divisors, whose sum is σ = 219623712. Its totient is φ = 11943936.

The previous prime is 52980479. The next prime is 52980491. The reversal of 52980480 is 8408925.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×52980480² = 5613862522060800, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 725724 + ... + 725796.

Almost surely, 2^52980480 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 52980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109811856).

52980480 is an abundant number, since it is smaller than the sum of its proper divisors (166643232).

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

52980480 is an equidigital number, since it uses as much as digits as its factorization.

52980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 52980480 is about 7278.7691267137. The cubic root of 52980480 is about 375.5824548552.

The spelling of 52980480 in words is "fifty-two million, nine hundred eighty thousand, four hundred eighty".