407894688 has 72 divisors (see below), whose sum is σ = 1164365748. Its totient is φ = 135447552.

The previous prime is 407894687. The next prime is 407894713. The reversal of 407894688 is 886498704.

It can be written as a sum of positive squares in 2 ways, for example, as 306530064 + 101364624 = 17508^2 + 10068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (407894687) 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, 77220 + ... + 82332.

Almost surely, 2^407894688 is an apocalyptic number.

407894688 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 407894688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582182874).

407894688 is an abundant number, since it is smaller than the sum of its proper divisors (756471060).

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

407894688 is a wasteful number, since it uses less digits than its factorization.

407894688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5395 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 407894688 is about 20196.4028480321. The cubic root of 407894688 is about 741.6221342842.

The spelling of 407894688 in words is "four hundred seven million, eight hundred ninety-four thousand, six hundred eighty-eight".