252640000 has 90 divisors (see below), whose sum is σ = 630563780. Its totient is φ = 100992000.

The previous prime is 252639997. The next prime is 252640013. The reversal of 252640000 is 46252.

252640000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 252640000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159211 + ... + 160789.

Almost surely, 2^252640000 is an apocalyptic number.

252640000 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 252640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315281890).

252640000 is an abundant number, since it is smaller than the sum of its proper divisors (377923780).

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

252640000 is an frugal number, since it uses more digits than its factorization.

252640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 252640000 is about 15894.6531890444. The cubic root of 252640000 is about 632.1702260045.

Adding to 252640000 its reverse (46252), we get a palindrome (252686252).

The spelling of 252640000 in words is "two hundred fifty-two million, six hundred forty thousand".