409828880 has 40 divisors (see below), whose sum is σ = 962693592. Its totient is φ = 162238464.

The previous prime is 409828831. The next prime is 409828919. The reversal of 409828880 is 88828904.

It can be written as a sum of positive squares in 4 ways, for example, as 3564544 + 406264336 = 1888^2 + 20156^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18647 + ... + 34166.

Almost surely, 2^409828880 is an apocalyptic number.

409828880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409828880 is an abundant number, since it is smaller than the sum of its proper divisors (552864712).

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

409828880 is a wasteful number, since it uses less digits than its factorization.

409828880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52923 (or 52917 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 47.

The square root of 409828880 is about 20244.2307831145. The cubic root of 409828880 is about 742.7925166377.

The spelling of 409828880 in words is "four hundred nine million, eight hundred twenty-eight thousand, eight hundred eighty".