409388952 has 64 divisors (see below), whose sum is σ = 1175328000. Its totient is φ = 116403840.

The previous prime is 409388927. The next prime is 409388963. The reversal of 409388952 is 259883904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29674 + ... + 41222.

It is an arithmetic number, because the mean of its divisors is an integer number (18364500).

Almost surely, 2^409388952 is an apocalyptic number.

409388952 is a gapful number since it is divisible by the number (42) 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 409388952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587664000).

409388952 is an abundant number, since it is smaller than the sum of its proper divisors (765939048).

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

409388952 is a wasteful number, since it uses less digits than its factorization.

409388952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11776 (or 11772 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 409388952 is about 20233.3623503361. The cubic root of 409388952 is about 742.5266396364.

The spelling of 409388952 in words is "four hundred nine million, three hundred eighty-eight thousand, nine hundred fifty-two".