409918656 has 224 divisors, whose sum is σ = 1306787328. Its totient is φ = 110960640.

The previous prime is 409918651. The next prime is 409918669. The reversal of 409918656 is 656819904.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409918651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2369386 + ... + 2369558.

It is an arithmetic number, because the mean of its divisors is an integer number (5833872).

Almost surely, 2^409918656 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 409918656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653393664).

409918656 is an abundant number, since it is smaller than the sum of its proper divisors (896868672).

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

409918656 is a wasteful number, since it uses less digits than its factorization.

409918656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 409918656 is about 20246.4479847701. The cubic root of 409918656 is about 742.8467507140.

The spelling of 409918656 in words is "four hundred nine million, nine hundred eighteen thousand, six hundred fifty-six".