903749472 has 72 divisors (see below), whose sum is σ = 2577491280. Its totient is φ = 300376320.

The previous prime is 903749467. The next prime is 903749477. The reversal of 903749472 is 274947309.

903749472 is a `hidden beast` number, since 90 + 3 + 7 + 494 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (903749467) and next prime (903749477).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (903749477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99022 + ... + 107762.

It is an arithmetic number, because the mean of its divisors is an integer number (35798490).

Almost surely, 2^903749472 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 903749472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288745640).

903749472 is an abundant number, since it is smaller than the sum of its proper divisors (1673741808).

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

903749472 is a wasteful number, since it uses less digits than its factorization.

903749472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9116 (or 9105 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 903749472 is about 30062.4262493898. The cubic root of 903749472 is about 966.8282956584.

The spelling of 903749472 in words is "nine hundred three million, seven hundred forty-nine thousand, four hundred seventy-two".