413504496 has 120 divisors (see below), whose sum is σ = 1194994944. Its totient is φ = 133407360.

The previous prime is 413504479. The next prime is 413504527. The reversal of 413504496 is 694405314.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 413504496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 723891 + ... + 724461.

Almost surely, 2^413504496 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 413504496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597497472).

413504496 is an abundant number, since it is smaller than the sum of its proper divisors (781490448).

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

413504496 is a wasteful number, since it uses less digits than its factorization.

413504496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 413504496 is about 20334.8099573121. The cubic root of 413504496 is about 745.0065287778.

The spelling of 413504496 in words is "four hundred thirteen million, five hundred four thousand, four hundred ninety-six".