409160664 has 48 divisors (see below), whose sum is σ = 1208886120. Its totient is φ = 123987840.

The previous prime is 409160663. The next prime is 409160677. The reversal of 409160664 is 466061904.

409160664 is a `hidden beast` number, since 40 + 9 + 1 + 606 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409160663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257517 + ... + 259100.

Almost surely, 2^409160664 is an apocalyptic number.

409160664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

409160664 is an abundant number, since it is smaller than the sum of its proper divisors (799725456).

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

409160664 is a wasteful number, since it uses less digits than its factorization.

409160664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516640 (or 516633 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 409160664 is about 20227.7201879006. The cubic root of 409160664 is about 742.3885953321.

The spelling of 409160664 in words is "four hundred nine million, one hundred sixty thousand, six hundred sixty-four".