406172160 has 360 divisors, whose sum is σ = 1518798996. Its totient is φ = 100270080.

The previous prime is 406172149. The next prime is 406172161. The reversal of 406172160 is 61271604.

406172160 is a `hidden beast` number, since 40 + 617 + 2 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 171714816 + 234457344 = 13104^2 + 15312^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (406172161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6658530 + ... + 6658590.

Almost surely, 2^406172160 is an apocalyptic number.

406172160 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 406172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759399498).

406172160 is an abundant number, since it is smaller than the sum of its proper divisors (1112626836).

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

406172160 is a wasteful number, since it uses less digits than its factorization.

406172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 406172160 is about 20153.7133054929. The cubic root of 406172160 is about 740.5767113739.

The spelling of 406172160 in words is "four hundred six million, one hundred seventy-two thousand, one hundred sixty".