409544640 has 224 divisors, whose sum is σ = 1461576960. Its totient is φ = 107947008.

The previous prime is 409544609. The next prime is 409544651. The reversal of 409544640 is 46445904.

409544640 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 4 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 409544595 and 409544604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 924259 + ... + 924701.

Almost surely, 2^409544640 is an apocalyptic number.

409544640 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 409544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730788480).

409544640 is an abundant number, since it is smaller than the sum of its proper divisors (1052032320).

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

409544640 is a wasteful number, since it uses less digits than its factorization.

409544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 409544640 is about 20237.2092937737. The cubic root of 409544640 is about 742.6207537511.

The spelling of 409544640 in words is "four hundred nine million, five hundred forty-four thousand, six hundred forty".