408969252 has 36 divisors (see below), whose sum is σ = 1069433820. Its totient is φ = 131621952.

The previous prime is 408969247. The next prime is 408969263. The reversal of 408969252 is 252969804.

It can be written as a sum of positive squares in 2 ways, for example, as 156350016 + 252619236 = 12504^2 + 15894^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 408969198 and 408969207.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194823 + ... + 196910.

It is an arithmetic number, because the mean of its divisors is an integer number (29706495).

Almost surely, 2^408969252 is an apocalyptic number.

It is an amenable number.

408969252 is an abundant number, since it is smaller than the sum of its proper divisors (660464568).

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

408969252 is a wasteful number, since it uses less digits than its factorization.

408969252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391772 (or 391767 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 408969252 is about 20222.9882064941. The cubic root of 408969252 is about 742.2728101298.

The spelling of 408969252 in words is "four hundred eight million, nine hundred sixty-nine thousand, two hundred fifty-two".