406167696 has 120 divisors (see below), whose sum is σ = 1286105184. Its totient is φ = 123068160.

The previous prime is 406167691. The next prime is 406167709. The reversal of 406167696 is 696761604.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (406167691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38020 + ... + 47516.

Almost surely, 2^406167696 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 406167696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643052592).

406167696 is an abundant number, since it is smaller than the sum of its proper divisors (879937488).

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

406167696 is a wasteful number, since it uses less digits than its factorization.

406167696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9531 (or 9513 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 406167696 is about 20153.6025563669. The cubic root of 406167696 is about 740.5739982825.

The spelling of 406167696 in words is "four hundred six million, one hundred sixty-seven thousand, six hundred ninety-six".