413825472 has 84 divisors (see below), whose sum is σ = 1248618280. Its totient is φ = 130678272.

The previous prime is 413825471. The next prime is 413825473. The reversal of 413825472 is 274528314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413825471) and next prime (413825473).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413825471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7963 + ... + 29850.

Almost surely, 2^413825472 is an apocalyptic number.

It is an amenable number.

413825472 is an abundant number, since it is smaller than the sum of its proper divisors (834792808).

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

413825472 is a wasteful number, since it uses less digits than its factorization.

413825472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37850 (or 37837 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 413825472 is about 20342.7007056585. The cubic root of 413825472 is about 745.1992452385.

It can be divided in two parts, 41382 and 5472, that multiplied together give a square (226442304 = 15048²).

The spelling of 413825472 in words is "four hundred thirteen million, eight hundred twenty-five thousand, four hundred seventy-two".