252672480 has 192 divisors, whose sum is σ = 923166720. Its totient is φ = 64424448.

The previous prime is 252672451. The next prime is 252672481. The reversal of 252672480 is 84276252.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252672481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98089 + ... + 100631.

It is an arithmetic number, because the mean of its divisors is an integer number (4808160).

Almost surely, 2^252672480 is an apocalyptic number.

252672480 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 252672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461583360).

252672480 is an abundant number, since it is smaller than the sum of its proper divisors (670494240).

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

252672480 is a wasteful number, since it uses less digits than its factorization.

252672480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 252672480 is about 15895.6748834392. The cubic root of 252672480 is about 632.1973159468.

The spelling of 252672480 in words is "two hundred fifty-two million, six hundred seventy-two thousand, four hundred eighty".