406082160 has 320 divisors, whose sum is σ = 1552043520. Its totient is φ = 97977600.

The previous prime is 406082147. The next prime is 406082189. The reversal of 406082160 is 61280604.

406082160 is a `hidden beast` number, since 40 + 608 + 2 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1924455 + ... + 1924665.

It is an arithmetic number, because the mean of its divisors is an integer number (4850136).

Almost surely, 2^406082160 is an apocalyptic number.

406082160 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 406082160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776021760).

406082160 is an abundant number, since it is smaller than the sum of its proper divisors (1145961360).

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

406082160 is a wasteful number, since it uses less digits than its factorization.

406082160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 406082160 is about 20151.4803426448. The cubic root of 406082160 is about 740.5220081108.

The spelling of 406082160 in words is "four hundred six million, eighty-two thousand, one hundred sixty".