252779400 has 96 divisors (see below), whose sum is σ = 870703200. Its totient is φ = 67406400.

The previous prime is 252779389. The next prime is 252779431. The reversal of 252779400 is 4977252.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18006 + ... + 28805.

It is an arithmetic number, because the mean of its divisors is an integer number (9069825).

Almost surely, 2^252779400 is an apocalyptic number.

252779400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252779400 is an abundant number, since it is smaller than the sum of its proper divisors (617923800).

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

252779400 is a wasteful number, since it uses less digits than its factorization.

252779400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46836 (or 46821 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 252779400 is about 15899.0377067293. The cubic root of 252779400 is about 632.2864761710.

The spelling of 252779400 in words is "two hundred fifty-two million, seven hundred seventy-nine thousand, four hundred".