903825416 has 64 divisors (see below), whose sum is σ = 1876089600. Its totient is φ = 405600768.

The previous prime is 903825413. The next prime is 903825427. The reversal of 903825416 is 614528309.

It is a happy number.

Together with 972264184 it forms an amicable pair .

It is a self number, because there is not a number n which added to its sum of digits gives 903825416.

It is not an unprimeable number, because it can be changed into a prime (903825413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874436 + ... + 875468.

It is an arithmetic number, because the mean of its divisors is an integer number (29313900).

Almost surely, 2^903825416 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 903825416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938044800).

903825416 is an abundant number, since it is smaller than the sum of its proper divisors (972264184).

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

903825416 is a wasteful number, since it uses less digits than its factorization.

903825416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 903825416 is about 30063.6893278254. The cubic root of 903825416 is about 966.8553764493.

The spelling of 903825416 in words is "nine hundred three million, eight hundred twenty-five thousand, four hundred sixteen".