413004840 has 32 divisors (see below), whose sum is σ = 1239014880. Its totient is φ = 110134592.

The previous prime is 413004821. The next prime is 413004877. The reversal of 413004840 is 48400314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 413004840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1720734 + ... + 1720973.

It is an arithmetic number, because the mean of its divisors is an integer number (38719215).

Almost surely, 2^413004840 is an apocalyptic number.

413004840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413004840 is an abundant number, since it is smaller than the sum of its proper divisors (826010040).

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

413004840 is a wasteful number, since it uses less digits than its factorization.

413004840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441721 (or 3441717 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 413004840 is about 20322.5205129679. The cubic root of 413004840 is about 744.7063329148.

The spelling of 413004840 in words is "four hundred thirteen million, four thousand, eight hundred forty".