409770440 has 64 divisors (see below), whose sum is σ = 946978560. Its totient is φ = 159505920.

The previous prime is 409770407. The next prime is 409770443. The reversal of 409770440 is 44077904.

It is a self number, because there is not a number n which added to its sum of digits gives 409770440.

It is not an unprimeable number, because it can be changed into a prime (409770443) 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, 396164 + ... + 397196.

It is an arithmetic number, because the mean of its divisors is an integer number (14796540).

Almost surely, 2^409770440 is an apocalyptic number.

409770440 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 409770440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473489280).

409770440 is an abundant number, since it is smaller than the sum of its proper divisors (537208120).

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

409770440 is a wasteful number, since it uses less digits than its factorization.

409770440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 409770440 is about 20242.7873574762. The cubic root of 409770440 is about 742.7572085207.

The spelling of 409770440 in words is "four hundred nine million, seven hundred seventy thousand, four hundred forty".