409889440 has 96 divisors (see below), whose sum is σ = 1043352576. Its totient is φ = 151726080.

The previous prime is 409889357. The next prime is 409889443. The reversal of 409889440 is 44988904.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (409889443) 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, 112284 + ... + 115876.

It is an arithmetic number, because the mean of its divisors is an integer number (10868256).

Almost surely, 2^409889440 is an apocalyptic number.

409889440 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 409889440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521676288).

409889440 is an abundant number, since it is smaller than the sum of its proper divisors (633463136).

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

409889440 is a wasteful number, since it uses less digits than its factorization.

409889440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 409889440 is about 20245.7264626390. The cubic root of 409889440 is about 742.8291020692.

The spelling of 409889440 in words is "four hundred nine million, eight hundred eighty-nine thousand, four hundred forty".