409922440 has 64 divisors (see below), whose sum is σ = 959492160. Its totient is φ = 157489920.

The previous prime is 409922437. The next prime is 409922441. The reversal of 409922440 is 44229904.

It is a junction number, because it is equal to n+sod(n) for n = 409922396 and 409922405.

It is not an unprimeable number, because it can be changed into a prime (409922441) 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, 102967 + ... + 106873.

It is an arithmetic number, because the mean of its divisors is an integer number (14992065).

Almost surely, 2^409922440 is an apocalyptic number.

409922440 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 409922440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479746080).

409922440 is an abundant number, since it is smaller than the sum of its proper divisors (549569720).

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

409922440 is a wasteful number, since it uses less digits than its factorization.

409922440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 409922440 is about 20246.5414330448. The cubic root of 409922440 is about 742.8490364711.

The spelling of 409922440 in words is "four hundred nine million, nine hundred twenty-two thousand, four hundred forty".