406467072 has 270 divisors, whose sum is σ = 1338956619. Its totient is φ = 123171840.

The previous prime is 406467053. The next prime is 406467097. The reversal of 406467072 is 270764604.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

406467072 is a `hidden beast` number, since 4 + 0 + 646 + 7 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203233536 + 203233536 = 14256^2 + 14256^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14256.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36951547 + ... + 36951557.

Almost surely, 2^406467072 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 406467072

406467072 is an abundant number, since it is smaller than the sum of its proper divisors (932489547).

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

406467072 is an frugal number, since it uses more digits than its factorization.

406467072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 406467072 is about 20161.0285451908. The cubic root of 406467072 is about 740.7559064233.

Multiplying 406467072 by its product of nonzero digits (56448), we get a square (22944253280256 = 4790016²).

The spelling of 406467072 in words is "four hundred six million, four hundred sixty-seven thousand, seventy-two".