408009579516 has 384 divisors, whose sum is σ = 1348682711040. Its totient is φ = 104465592000.

The previous prime is 408009579463. The next prime is 408009579547. The reversal of 408009579516 is 615975900804.

408009579516 is a `hidden beast` number, since 40 + 80 + 0 + 9 + 5 + 7 + 9 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71439901 + ... + 71445611.

It is an arithmetic number, because the mean of its divisors is an integer number (3512194560).

Almost surely, 2^408009579516 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 408009579516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674341355520).

408009579516 is an abundant number, since it is smaller than the sum of its proper divisors (940673131524).

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

408009579516 is a wasteful number, since it uses less digits than its factorization.

408009579516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 408009579516 in words is "four hundred eight billion, nine million, five hundred seventy-nine thousand, five hundred sixteen".