413125416 has 96 divisors (see below), whose sum is σ = 1262757600. Its totient is φ = 120865920.

The previous prime is 413125373. The next prime is 413125421. The reversal of 413125416 is 614521314.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 413125416.

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, 13975 + ... + 31961.

It is an arithmetic number, because the mean of its divisors is an integer number (13153725).

Almost surely, 2^413125416 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 413125416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631378800).

413125416 is an abundant number, since it is smaller than the sum of its proper divisors (849632184).

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

413125416 is a wasteful number, since it uses less digits than its factorization.

413125416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18039 (or 18032 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 413125416 is about 20325.4868576376. The cubic root of 413125416 is about 744.7787977426.

The spelling of 413125416 in words is "four hundred thirteen million, one hundred twenty-five thousand, four hundred sixteen".