409659880 has 128 divisors (see below), whose sum is σ = 1129075200. Its totient is φ = 130572288.

The previous prime is 409659871. The next prime is 409659881. The reversal of 409659880 is 88956904.

It is a happy number.

It is a super-2 number, since 2×409659880² = 335642434563228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (409659881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423157 + ... + 424123.

It is an arithmetic number, because the mean of its divisors is an integer number (8820900).

Almost surely, 2^409659880 is an apocalyptic number.

409659880 is a gapful number since it is divisible by the number (40) 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 409659880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564537600).

409659880 is an abundant number, since it is smaller than the sum of its proper divisors (719415320).

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

409659880 is a wasteful number, since it uses less digits than its factorization.

409659880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 409659880 is about 20240.0563240323. The cubic root of 409659880 is about 742.6904015026.

The spelling of 409659880 in words is "four hundred nine million, six hundred fifty-nine thousand, eight hundred eighty".