252962000 has 40 divisors (see below), whose sum is σ = 611666952. Its totient is φ = 101184000.

The previous prime is 252961999. The next prime is 252962033. The reversal of 252962000 is 269252.

252962000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36048016 + 216913984 = 6004^2 + 14728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61241 + ... + 65240.

Almost surely, 2^252962000 is an apocalyptic number.

252962000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252962000 is an abundant number, since it is smaller than the sum of its proper divisors (358704952).

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

252962000 is a wasteful number, since it uses less digits than its factorization.

252962000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126504 (or 126488 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 252962000 is about 15904.7791559644. The cubic root of 252962000 is about 632.4386875738.

The spelling of 252962000 in words is "two hundred fifty-two million, nine hundred sixty-two thousand".