409279868928 has 832 divisors, whose sum is σ = 1439183600640. Its totient is φ = 113945149440.

The previous prime is 409279868911. The next prime is 409279868939. The reversal of 409279868928 is 829868972904.

409279868928 is a `hidden beast` number, since 409 + 2 + 79 + 8 + 68 + 92 + 8 = 666.

It is a super-2 number, since 2×409279868928² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3825045451 + ... + 3825045557.

Almost surely, 2^409279868928 is an apocalyptic number.

409279868928 is a gapful number since it is divisible by the number (48) 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 409279868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719591800320).

409279868928 is an abundant number, since it is smaller than the sum of its proper divisors (1029903731712).

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

409279868928 is an frugal number, since it uses more digits than its factorization.

409279868928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 409279868928 in words is "four hundred nine billion, two hundred seventy-nine million, eight hundred sixty-eight thousand, nine hundred twenty-eight".