7413904 has 40 divisors (see below), whose sum is σ = 15420888. Its totient is φ = 3440640.

The previous prime is 7413899. The next prime is 7413919. The reversal of 7413904 is 4093147.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 5017600 = 1548^2 + 2240^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26244 + ... + 26524.

Almost surely, 2^7413904 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 7413904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7710444).

7413904 is an abundant number, since it is smaller than the sum of its proper divisors (8006984).

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

7413904 is a wasteful number, since it uses less digits than its factorization.

7413904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 7413904 is about 2722.8485084558. The cubic root of 7413904 is about 194.9914876845.

The spelling of 7413904 in words is "seven million, four hundred thirteen thousand, nine hundred four".