409556928 has 252 divisors, whose sum is σ = 1286013176. Its totient is φ = 114892800.

The previous prime is 409556923. The next prime is 409556933. The reversal of 409556928 is 829655904.

It is an interprime number because it is at equal distance from previous prime (409556923) and next prime (409556933).

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 (409556923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6714018 + ... + 6714078.

Almost surely, 2^409556928 is an apocalyptic number.

409556928 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 409556928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643006588).

409556928 is an abundant number, since it is smaller than the sum of its proper divisors (876456248).

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

409556928 is a wasteful number, since it uses less digits than its factorization.

409556928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 409556928 is about 20237.5128906691. The cubic root of 409556928 is about 742.6281808882.

The spelling of 409556928 in words is "four hundred nine million, five hundred fifty-six thousand, nine hundred twenty-eight".