252011400 has 192 divisors, whose sum is σ = 854945280. Its totient is φ = 61132800.

The previous prime is 252011393. The next prime is 252011401. The reversal of 252011400 is 4110252.

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 252011400.

It is not an unprimeable number, because it can be changed into a prime (252011401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315802 + ... + 316598.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^252011400 is an apocalyptic number.

252011400 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 252011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

252011400 is an abundant number, since it is smaller than the sum of its proper divisors (602933880).

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

252011400 is a wasteful number, since it uses less digits than its factorization.

252011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 855 counting only the distinct ones).

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

The square root of 252011400 is about 15874.8669285761. The cubic root of 252011400 is about 631.6454842913.

Adding to 252011400 its reverse (4110252), we get a palindrome (256121652).

The spelling of 252011400 in words is "two hundred fifty-two million, eleven thousand, four hundred".