252604800 has 432 divisors, whose sum is σ = 1054368900. Its totient is φ = 57415680.

The previous prime is 252604799. The next prime is 252604801. The reversal of 252604800 is 8406252.

252604800 is a `hidden beast` number, since 2 + 52 + 604 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (252604799) and next prime (252604801).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252604801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1411111 + ... + 1411289.

Almost surely, 2^252604800 is an apocalyptic number.

252604800 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 252604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527184450).

252604800 is an abundant number, since it is smaller than the sum of its proper divisors (801764100).

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

252604800 is a wasteful number, since it uses less digits than its factorization.

252604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 252604800 is about 15893.5458598766. The cubic root of 252604800 is about 632.1408648246.

The spelling of 252604800 in words is "two hundred fifty-two million, six hundred four thousand, eight hundred".