409492952 has 64 divisors (see below), whose sum is σ = 861719040. Its totient is φ = 180835200.

The previous prime is 409492927. The next prime is 409493003. The reversal of 409492952 is 259294904.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 748343 + ... + 748889.

It is an arithmetic number, because the mean of its divisors is an integer number (13464360).

Almost surely, 2^409492952 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 409492952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430859520).

409492952 is an abundant number, since it is smaller than the sum of its proper divisors (452226088).

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

409492952 is a wasteful number, since it uses less digits than its factorization.

409492952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 409492952 is about 20235.9321999260. The cubic root of 409492952 is about 742.5895107617.

The spelling of 409492952 in words is "four hundred nine million, four hundred ninety-two thousand, nine hundred fifty-two".