252948480 has 208 divisors, whose sum is σ = 849242880. Its totient is φ = 64159744.

The previous prime is 252948473. The next prime is 252948481. The reversal of 252948480 is 84849252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252948481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1413031 + ... + 1413209.

Almost surely, 2^252948480 is an apocalyptic number.

252948480 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 252948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424621440).

252948480 is an abundant number, since it is smaller than the sum of its proper divisors (596294400).

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

252948480 is a wasteful number, since it uses less digits than its factorization.

252948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 252948480 is about 15904.3541208060. The cubic root of 252948480 is about 632.4274201063.

The spelling of 252948480 in words is "two hundred fifty-two million, nine hundred forty-eight thousand, four hundred eighty".