252054400 has 192 divisors, whose sum is σ = 687924720. Its totient is φ = 90685440.

The previous prime is 252054391. The next prime is 252054409. The reversal of 252054400 is 4450252.

It is an interprime number because it is at equal distance from previous prime (252054391) and next prime (252054409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252054409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3036759 + ... + 3036841.

Almost surely, 2^252054400 is an apocalyptic number.

252054400 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 252054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343962360).

252054400 is an abundant number, since it is smaller than the sum of its proper divisors (435870320).

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

252054400 is a wasteful number, since it uses less digits than its factorization.

252054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 252054400 is about 15876.2212128705. The cubic root of 252054400 is about 631.6814075487.

The spelling of 252054400 in words is "two hundred fifty-two million, fifty-four thousand, four hundred".