408713472 has 144 divisors (see below), whose sum is σ = 1250928000. Its totient is φ = 131475456.

The previous prime is 408713423. The next prime is 408713483. The reversal of 408713472 is 274317804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199429 + ... + 201467.

It is an arithmetic number, because the mean of its divisors is an integer number (8687000).

Almost surely, 2^408713472 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 408713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625464000).

408713472 is an abundant number, since it is smaller than the sum of its proper divisors (842214528).

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

408713472 is a wasteful number, since it uses less digits than its factorization.

408713472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 408713472 is about 20216.6632261607. The cubic root of 408713472 is about 742.1180322884.

The spelling of 408713472 in words is "four hundred eight million, seven hundred thirteen thousand, four hundred seventy-two".