409304600928 has 192 divisors, whose sum is σ = 1202032742400. Its totient is φ = 135497779200.

The previous prime is 409304600911. The next prime is 409304600933. The reversal of 409304600928 is 829006403904.

409304600928 is a `hidden beast` number, since 4 + 0 + 9 + 30 + 4 + 600 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×409304600928² (a number of 24 digits) contains 22 as substring.

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, 82802425 + ... + 82807367.

It is an arithmetic number, because the mean of its divisors is an integer number (6260587200).

Almost surely, 2^409304600928 is an apocalyptic number.

409304600928 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 409304600928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601016371200).

409304600928 is an abundant number, since it is smaller than the sum of its proper divisors (792728141472).

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

409304600928 is a wasteful number, since it uses less digits than its factorization.

409304600928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602 (or 5588 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 409304600928 in words is "four hundred nine billion, three hundred four million, six hundred thousand, nine hundred twenty-eight".