406331960 has 64 divisors (see below), whose sum is σ = 970794720. Its totient is φ = 152535040.

The previous prime is 406331957. The next prime is 406332037. The reversal of 406331960 is 69133604.

It is a happy number.

406331960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333272 + ... + 334488.

Almost surely, 2^406331960 is an apocalyptic number.

406331960 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 406331960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485397360).

406331960 is an abundant number, since it is smaller than the sum of its proper divisors (564462760).

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

406331960 is a wasteful number, since it uses less digits than its factorization.

406331960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 406331960 is about 20157.6774455789. The cubic root of 406331960 is about 740.6738201482.

The spelling of 406331960 in words is "four hundred six million, three hundred thirty-one thousand, nine hundred sixty".