409013440 has 112 divisors (see below), whose sum is σ = 1071823104. Its totient is φ = 147430400.

The previous prime is 409013431. The next prime is 409013447. The reversal of 409013440 is 44310904.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (409013447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460677 + ... + 461563.

Almost surely, 2^409013440 is an apocalyptic number.

409013440 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 409013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535911552).

409013440 is an abundant number, since it is smaller than the sum of its proper divisors (662809664).

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

409013440 is a wasteful number, since it uses less digits than its factorization.

409013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 409013440 is about 20224.0806960415. The cubic root of 409013440 is about 742.2995426771.

The spelling of 409013440 in words is "four hundred nine million, thirteen thousand, four hundred forty".