407985408 has 108 divisors (see below), whose sum is σ = 1227626400. Its totient is φ = 130065408.

The previous prime is 407985401. The next prime is 407985437. The reversal of 407985408 is 804589704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407985401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49143 + ... + 56841.

Almost surely, 2^407985408 is an apocalyptic number.

407985408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613813200).

407985408 is an abundant number, since it is smaller than the sum of its proper divisors (819640992).

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

407985408 is a wasteful number, since it uses less digits than its factorization.

407985408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7744 (or 7727 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 407985408 is about 20198.6486676708. The cubic root of 407985408 is about 741.6771116878.

The spelling of 407985408 in words is "four hundred seven million, nine hundred eighty-five thousand, four hundred eight".