406467972 has 36 divisors (see below), whose sum is σ = 1028257776. Its totient is φ = 135384240.

The previous prime is 406467953. The next prime is 406467989. The reversal of 406467972 is 279764604.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52963 + ... + 60149.

It is an arithmetic number, because the mean of its divisors is an integer number (28562716).

Almost surely, 2^406467972 is an apocalyptic number.

It is an amenable number.

406467972 is an abundant number, since it is smaller than the sum of its proper divisors (621789804).

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

406467972 is a wasteful number, since it uses less digits than its factorization.

406467972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8768 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 406467972 is about 20161.0508654683. The cubic root of 406467972 is about 740.7564531505.

The spelling of 406467972 in words is "four hundred six million, four hundred sixty-seven thousand, nine hundred seventy-two".