407474496 has 448 divisors, whose sum is σ = 1505468160. Its totient is φ = 106168320.

The previous prime is 407474477. The next prime is 407474519. The reversal of 407474496 is 694474704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4200720 + ... + 4200816.

It is an arithmetic number, because the mean of its divisors is an integer number (3360420).

Almost surely, 2^407474496 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 407474496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752734080).

407474496 is an abundant number, since it is smaller than the sum of its proper divisors (1097993664).

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

407474496 is a wasteful number, since it uses less digits than its factorization.

407474496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 407474496 is about 20185.9975230356. The cubic root of 407474496 is about 741.3673865396.

The spelling of 407474496 in words is "four hundred seven million, four hundred seventy-four thousand, four hundred ninety-six".