252020400 has 120 divisors (see below), whose sum is σ = 815543040. Its totient is φ = 66520320.

The previous prime is 252020387. The next prime is 252020429. The reversal of 252020400 is 4020252.

It is a tau number, because it is divible by the number of its divisors (120).

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 252020400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122581 + ... + 124619.

It is an arithmetic number, because the mean of its divisors is an integer number (6796192).

Almost surely, 2^252020400 is an apocalyptic number.

252020400 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 252020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407771520).

252020400 is an abundant number, since it is smaller than the sum of its proper divisors (563522640).

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

252020400 is a wasteful number, since it uses less digits than its factorization.

252020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 252020400 is about 15875.1503929884. The cubic root of 252020400 is about 631.6530034507.

Adding to 252020400 its reverse (4020252), we get a palindrome (256040652).

The spelling of 252020400 in words is "two hundred fifty-two million, twenty thousand, four hundred".