408979353600 has 234 divisors, whose sum is σ = 1464879390156. Its totient is φ = 109060915200.

The previous prime is 408979353577. The next prime is 408979353623. The reversal of 408979353600 is 6353979804.

408979353600 is a `hidden beast` number, since 408 + 97 + 93 + 5 + 3 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (408979353577) and next prime (408979353623).

It is a super-2 number, since 2×408979353600² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 699715 + ... + 1143485.

It is an arithmetic number, because the mean of its divisors is an integer number (6260168334).

Almost surely, 2^408979353600 is an apocalyptic number.

408979353600 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 408979353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732439695078).

408979353600 is an abundant number, since it is smaller than the sum of its proper divisors (1055900036556).

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

408979353600 is a wasteful number, since it uses less digits than its factorization.

408979353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443811 (or 443781 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 408979353600 in words is "four hundred eight billion, nine hundred seventy-nine million, three hundred fifty-three thousand, six hundred".