406604160 has 192 divisors, whose sum is σ = 1424760480. Its totient is φ = 106831872.

The previous prime is 406604129. The next prime is 406604179. The reversal of 406604160 is 61406604.

406604160 is a `hidden beast` number, since 40 + 6 + 604 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419997 + ... + 420963.

Almost surely, 2^406604160 is an apocalyptic number.

406604160 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 406604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712380240).

406604160 is an abundant number, since it is smaller than the sum of its proper divisors (1018156320).

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

406604160 is a wasteful number, since it uses less digits than its factorization.

406604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 406604160 is about 20164.4280851206. The cubic root of 406604160 is about 740.8391746128.

The spelling of 406604160 in words is "four hundred six million, six hundred four thousand, one hundred sixty".