413937792 has 192 divisors, whose sum is σ = 1255138560. Its totient is φ = 130775040.

The previous prime is 413937773. The next prime is 413937809. The reversal of 413937792 is 297739314.

It is a tau number, because it is divible by the number of its divisors (192).

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, 2392618 + ... + 2392790.

It is an arithmetic number, because the mean of its divisors is an integer number (6537180).

Almost surely, 2^413937792 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 413937792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627569280).

413937792 is an abundant number, since it is smaller than the sum of its proper divisors (841200768).

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

413937792 is a wasteful number, since it uses less digits than its factorization.

413937792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 413937792 is about 20345.4612137449. The cubic root of 413937792 is about 745.2666594936.

The spelling of 413937792 in words is "four hundred thirteen million, nine hundred thirty-seven thousand, seven hundred ninety-two".