406160100 has 108 divisors (see below), whose sum is σ = 1307601204. Its totient is φ = 105373440.

The previous prime is 406160077. The next prime is 406160119. The reversal of 406160100 is 1061604.

406160100 is a `hidden beast` number, since 4 + 0 + 61 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15069924 + 391090176 = 3882^2 + 19776^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27202 + ... + 39398.

Almost surely, 2^406160100 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 406160100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653800602).

406160100 is an abundant number, since it is smaller than the sum of its proper divisors (901441104).

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

406160100 is a wasteful number, since it uses less digits than its factorization.

406160100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12254 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 406160100 is about 20153.4141028263. The cubic root of 406160100 is about 740.5693816055.

The spelling of 406160100 in words is "four hundred six million, one hundred sixty thousand, one hundred".