252509400 has 480 divisors, whose sum is σ = 1039777200. Its totient is φ = 55987200.

The previous prime is 252509371. The next prime is 252509419. The reversal of 252509400 is 4905252.

252509400 is a `hidden beast` number, since 2 + 5 + 250 + 9 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2316546 + ... + 2316654.

Almost surely, 2^252509400 is an apocalyptic number.

252509400 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 252509400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519888600).

252509400 is an abundant number, since it is smaller than the sum of its proper divisors (787267800).

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

252509400 is a wasteful number, since it uses less digits than its factorization.

252509400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 252509400 is about 15890.5443582025. The cubic root of 252509400 is about 632.0612756376.

The spelling of 252509400 in words is "two hundred fifty-two million, five hundred nine thousand, four hundred".