252470400 has 576 divisors, whose sum is σ = 1087222080. Its totient is φ = 50135040.

The previous prime is 252470377. The next prime is 252470401. The reversal of 252470400 is 4074252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252470401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14851192 + ... + 14851208.

Almost surely, 2^252470400 is an apocalyptic number.

252470400 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 252470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543611040).

252470400 is an abundant number, since it is smaller than the sum of its proper divisors (834751680).

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

252470400 is a wasteful number, since it uses less digits than its factorization.

252470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 252470400 is about 15889.3171659452. The cubic root of 252470400 is about 632.0287334050.

The spelling of 252470400 in words is "two hundred fifty-two million, four hundred seventy thousand, four hundred".