252110400 has 168 divisors, whose sum is σ = 843588864. Its totient is φ = 65894400.

The previous prime is 252110399. The next prime is 252110401. The reversal of 252110400 is 4011252.

It is an interprime number because it is at equal distance from previous prime (252110399) and next prime (252110401).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 252110400.

It is not an unprimeable number, because it can be changed into a prime (252110401) 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, 253905 + ... + 254895.

Almost surely, 2^252110400 is an apocalyptic number.

252110400 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 252110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421794432).

252110400 is an abundant number, since it is smaller than the sum of its proper divisors (591478464).

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

252110400 is a wasteful number, since it uses less digits than its factorization.

252110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 252110400 is about 15877.9847587784. The cubic root of 252110400 is about 631.7281852012.

Adding to 252110400 its reverse (4011252), we get a palindrome (256121652).

It can be divided in two parts, 2521 and 10400, that added together give a palindrome (12921).

The spelling of 252110400 in words is "two hundred fifty-two million, one hundred ten thousand, four hundred".