413500416 has 264 divisors, whose sum is σ = 1332940896. Its totient is φ = 113541120.

The previous prime is 413500411. The next prime is 413500421. The reversal of 413500416 is 614005314.

It is an interprime number because it is at equal distance from previous prime (413500411) and next prime (413500421).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413500411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6171615 + ... + 6171681.

Almost surely, 2^413500416 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 413500416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666470448).

413500416 is an abundant number, since it is smaller than the sum of its proper divisors (919440480).

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

413500416 is a wasteful number, since it uses less digits than its factorization.

413500416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 413500416 is about 20334.7096364812. The cubic root of 413500416 is about 745.0040784726.

The spelling of 413500416 in words is "four hundred thirteen million, five hundred thousand, four hundred sixteen".