408399952 has 40 divisors (see below), whose sum is σ = 828375552. Its totient is φ = 194812800.

The previous prime is 408399949. The next prime is 408399961. The reversal of 408399952 is 259993804.

It is a junction number, because it is equal to n+sod(n) for n = 408399896 and 408399905.

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, 29418 + ... + 41014.

Almost surely, 2^408399952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408399952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414187776).

408399952 is an abundant number, since it is smaller than the sum of its proper divisors (419975600).

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

408399952 is a wasteful number, since it uses less digits than its factorization.

408399952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11707 (or 11701 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

The square root of 408399952 is about 20208.9077389155. The cubic root of 408399952 is about 741.9282266508.

The spelling of 408399952 in words is "four hundred eight million, three hundred ninety-nine thousand, nine hundred fifty-two".