410504416 has 48 divisors (see below), whose sum is σ = 929384064. Its totient is φ = 174835584.

The previous prime is 410504399. The next prime is 410504417. The reversal of 410504416 is 614405014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410504417) 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, 30891 + ... + 42133.

It is an arithmetic number, because the mean of its divisors is an integer number (19362168).

Almost surely, 2^410504416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410504416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464692032).

410504416 is an abundant number, since it is smaller than the sum of its proper divisors (518879648).

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

410504416 is a wasteful number, since it uses less digits than its factorization.

410504416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11423 (or 11415 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 410504416 is about 20260.9085679789. The cubic root of 410504416 is about 743.2004166660.

The spelling of 410504416 in words is "four hundred ten million, five hundred four thousand, four hundred sixteen".