409712928 has 96 divisors (see below), whose sum is σ = 1118396160. Its totient is φ = 131174400.

The previous prime is 409712923. The next prime is 409712939. The reversal of 409712928 is 829217904.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 409712928.

It is not an unprimeable number, because it can be changed into a prime (409712923) 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 15 ways as a sum of consecutive naturals, for example, 1021528 + ... + 1021928.

It is an arithmetic number, because the mean of its divisors is an integer number (11649960).

Almost surely, 2^409712928 is an apocalyptic number.

409712928 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 409712928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559198080).

409712928 is an abundant number, since it is smaller than the sum of its proper divisors (708683232).

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

409712928 is a wasteful number, since it uses less digits than its factorization.

409712928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 409712928 is about 20241.3667522724. The cubic root of 409712928 is about 742.7224578025.

The spelling of 409712928 in words is "four hundred nine million, seven hundred twelve thousand, nine hundred twenty-eight".