410944000 has 80 divisors (see below), whose sum is σ = 1024874136. Its totient is φ = 164352000.

The previous prime is 410943971. The next prime is 410944003. The reversal of 410944000 is 449014.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79995136 + 330948864 = 8944^2 + 18192^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×410944000² = 337749942272000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (410944003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60790 + ... + 67210.

Almost surely, 2^410944000 is an apocalyptic number.

410944000 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 410944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512437068).

410944000 is an abundant number, since it is smaller than the sum of its proper divisors (613930136).

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

410944000 is an frugal number, since it uses more digits than its factorization.

410944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6454 (or 6428 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 410944000 is about 20271.7537475178. The cubic root of 410944000 is about 743.4656046108.

The spelling of 410944000 in words is "four hundred ten million, nine hundred forty-four thousand".