252648480 has 96 divisors (see below), whose sum is σ = 909546624. Its totient is φ = 57747456.

The previous prime is 252648479. The next prime is 252648499. The reversal of 252648480 is 84846252.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34237 + ... + 40956.

It is an arithmetic number, because the mean of its divisors is an integer number (9474444).

Almost surely, 2^252648480 is an apocalyptic number.

252648480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252648480 is an abundant number, since it is smaller than the sum of its proper divisors (656898144).

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

252648480 is a wasteful number, since it uses less digits than its factorization.

252648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75218 (or 75210 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 252648480 is about 15894.9199431768. The cubic root of 252648480 is about 632.1772989720.

The spelling of 252648480 in words is "two hundred fifty-two million, six hundred forty-eight thousand, four hundred eighty".