406456872 has 48 divisors (see below), whose sum is σ = 1050037920. Its totient is φ = 131107680.

The previous prime is 406456871. The next prime is 406456879. The reversal of 406456872 is 278654604.

It is not an unprimeable number, because it can be changed into a prime (406456871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14253 + ... + 31875.

It is an arithmetic number, because the mean of its divisors is an integer number (21875790).

Almost surely, 2^406456872 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 406456872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525018960).

406456872 is an abundant number, since it is smaller than the sum of its proper divisors (643581048).

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

406456872 is a wasteful number, since it uses less digits than its factorization.

406456872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17694 (or 17659 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 406456872 is about 20160.7755803193. The cubic root of 406456872 is about 740.7497101252.

The spelling of 406456872 in words is "four hundred six million, four hundred fifty-six thousand, eight hundred seventy-two".