409538952 has 24 divisors (see below), whose sum is σ = 1109168190. Its totient is φ = 136512960.

The previous prime is 409538893. The next prime is 409538981. The reversal of 409538952 is 259835904.

It can be written as a sum of positive squares in only one way, i.e., 408605796 + 933156 = 20214^2 + 966^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 409538898 and 409538907.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2843949 + ... + 2844092.

Almost surely, 2^409538952 is an apocalyptic number.

It is an amenable number.

409538952 is an abundant number, since it is smaller than the sum of its proper divisors (699629238).

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

409538952 is a wasteful number, since it uses less digits than its factorization.

409538952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688053 (or 5688046 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 409538952 is about 20237.0687600749. The cubic root of 409538952 is about 742.6173157486.

The spelling of 409538952 in words is "four hundred nine million, five hundred thirty-eight thousand, nine hundred fifty-two".