406907680 has 48 divisors (see below), whose sum is σ = 970691904. Its totient is φ = 161176320.

The previous prime is 406907663. The next prime is 406907681. The reversal of 406907680 is 86709604.

406907680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (406907681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4135 + ... + 28825.

It is an arithmetic number, because the mean of its divisors is an integer number (20222748).

Almost surely, 2^406907680 is an apocalyptic number.

406907680 is a gapful number since it is divisible by the number (40) 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 406907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485345952).

406907680 is an abundant number, since it is smaller than the sum of its proper divisors (563784224).

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

406907680 is a wasteful number, since it uses less digits than its factorization.

406907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24809 (or 24801 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 406907680 is about 20171.9528058143. The cubic root of 406907680 is about 741.0234681681.

The spelling of 406907680 in words is "four hundred six million, nine hundred seven thousand, six hundred eighty".