407910816 has 120 divisors (see below), whose sum is σ = 1206476964. Its totient is φ = 135198720.

The previous prime is 407910743. The next prime is 407910817. The reversal of 407910816 is 618019704.

It can be written as a sum of positive squares in 2 ways, for example, as 407878416 + 32400 = 20196^2 + 180^2 .

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

It is not an unprimeable number, because it can be changed into a prime (407910817) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 624346 + ... + 624998.

Almost surely, 2^407910816 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 407910816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603238482).

407910816 is an abundant number, since it is smaller than the sum of its proper divisors (798566148).

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

407910816 is a wasteful number, since it uses less digits than its factorization.

407910816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 407910816 is about 20196.8021231085. The cubic root of 407910816 is about 741.6319086406.

The spelling of 407910816 in words is "four hundred seven million, nine hundred ten thousand, eight hundred sixteen".