413825944 has 64 divisors (see below), whose sum is σ = 923074560. Its totient is φ = 170190720.

The previous prime is 413825939. The next prime is 413825953. The reversal of 413825944 is 449528314.

It is a super-2 number, since 2×413825944² = 342503823854982272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413825897 and 413825906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219534 + ... + 221410.

It is an arithmetic number, because the mean of its divisors is an integer number (14423040).

Almost surely, 2^413825944 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 413825944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461537280).

413825944 is an abundant number, since it is smaller than the sum of its proper divisors (509248616).

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

413825944 is a wasteful number, since it uses less digits than its factorization.

413825944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2044 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 413825944 is about 20342.7123068680. The cubic root of 413825944 is about 745.1995285576.

The spelling of 413825944 in words is "four hundred thirteen million, eight hundred twenty-five thousand, nine hundred forty-four".