252476400 has 240 divisors, whose sum is σ = 912227328. Its totient is φ = 59136000.

The previous prime is 252476387. The next prime is 252476423. The reversal of 252476400 is 4674252.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408892 + ... + 409508.

Almost surely, 2^252476400 is an apocalyptic number.

252476400 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 252476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456113664).

252476400 is an abundant number, since it is smaller than the sum of its proper divisors (659750928).

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

252476400 is a wasteful number, since it uses less digits than its factorization.

252476400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 252476400 is about 15889.5059709231. The cubic root of 252476400 is about 632.0337401204.

It can be divided in two parts, 25 and 2476400, that added together give a triangular number (2476425 = T₂₂₂₅).

The spelling of 252476400 in words is "two hundred fifty-two million, four hundred seventy-six thousand, four hundred".