409444965 has 96 divisors (see below), whose sum is σ = 797921280. Its totient is φ = 193235328.

The previous prime is 409444961. The next prime is 409444999. The reversal of 409444965 is 569444904.

It is not a de Polignac number, because 409444965 - 2² = 409444961 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 409444965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409444961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 924034 + ... + 924476.

It is an arithmetic number, because the mean of its divisors is an integer number (8311680).

Almost surely, 2^409444965 is an apocalyptic number.

409444965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409444965 is a deficient number, since it is larger than the sum of its proper divisors (388476315).

409444965 is a wasteful number, since it uses less digits than its factorization.

409444965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 409444965 is about 20234.7464772851. The cubic root of 409444965 is about 742.5605025010.

The spelling of 409444965 in words is "four hundred nine million, four hundred forty-four thousand, nine hundred sixty-five".