406130952 has 128 divisors (see below), whose sum is σ = 1110412800. Its totient is φ = 123307008.

The previous prime is 406130929. The next prime is 406130971. The reversal of 406130952 is 259031604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2268799 + ... + 2268977.

It is an arithmetic number, because the mean of its divisors is an integer number (8675100).

Almost surely, 2^406130952 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 406130952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555206400).

406130952 is an abundant number, since it is smaller than the sum of its proper divisors (704281848).

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

406130952 is a wasteful number, since it uses less digits than its factorization.

406130952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 406130952 is about 20152.6909369444. The cubic root of 406130952 is about 740.5516655762.

The spelling of 406130952 in words is "four hundred six million, one hundred thirty thousand, nine hundred fifty-two".