252014400 has 504 divisors, whose sum is σ = 1026895584. Its totient is φ = 58060800.

The previous prime is 252014353. The next prime is 252014401. The reversal of 252014400 is 4410252.

252014400 is a `hidden beast` number, since 2 + 520 + 144 + 0 + 0 = 666.

It is a super-2 number, since 2×252014400² = 127022515614720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252014401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5860779 + ... + 5860821.

Almost surely, 2^252014400 is an apocalyptic number.

252014400 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 252014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513447792).

252014400 is an abundant number, since it is smaller than the sum of its proper divisors (774881184).

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

252014400 is a wasteful number, since it uses less digits than its factorization.

252014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 252014400 is about 15874.9614172759. The cubic root of 252014400 is about 631.6479906976.

Adding to 252014400 its reverse (4410252), we get a palindrome (256424652).

The spelling of 252014400 in words is "two hundred fifty-two million, fourteen thousand, four hundred".