408472736 has 96 divisors (see below), whose sum is σ = 988267392. Its totient is φ = 162201600.

The previous prime is 408472733. The next prime is 408472747. The reversal of 408472736 is 637274804.

It is a junction number, because it is equal to n+sod(n) for n = 408472693 and 408472702.

It is not an unprimeable number, because it can be changed into a prime (408472733) by changing a digit.

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, 254336 + ... + 255936.

It is an arithmetic number, because the mean of its divisors is an integer number (10294452).

Almost surely, 2^408472736 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 408472736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494133696).

408472736 is an abundant number, since it is smaller than the sum of its proper divisors (579794656).

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

408472736 is a wasteful number, since it uses less digits than its factorization.

408472736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The square root of 408472736 is about 20210.7084487407. The cubic root of 408472736 is about 741.9722988862.

The spelling of 408472736 in words is "four hundred eight million, four hundred seventy-two thousand, seven hundred thirty-six".