252996480 has 320 divisors, whose sum is σ = 985626000. Its totient is φ = 61332480.

The previous prime is 252996451. The next prime is 252996509. The reversal of 252996480 is 84699252.

It is an interprime number because it is at equal distance from previous prime (252996451) and next prime (252996509).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 22999675 + ... + 22999685.

Almost surely, 2^252996480 is an apocalyptic number.

252996480 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 252996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492813000).

252996480 is an abundant number, since it is smaller than the sum of its proper divisors (732629520).

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

252996480 is an frugal number, since it uses more digits than its factorization.

252996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 252996480 is about 15905.8630699500. The cubic root of 252996480 is about 632.4674211323.

The spelling of 252996480 in words is "two hundred fifty-two million, nine hundred ninety-six thousand, four hundred eighty".