900917472 has 192 divisors, whose sum is σ = 2928973824. Its totient is φ = 236113920.

The previous prime is 900917453. The next prime is 900917497. The reversal of 900917472 is 274719009.

900917472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 900917472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2454633 + ... + 2454999.

It is an arithmetic number, because the mean of its divisors is an integer number (15255072).

Almost surely, 2^900917472 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 900917472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464486912).

900917472 is an abundant number, since it is smaller than the sum of its proper divisors (2028056352).

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

900917472 is a wasteful number, since it uses less digits than its factorization.

900917472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 900917472 is about 30015.2873049718. The cubic root of 900917472 is about 965.8173507705.

The spelling of 900917472 in words is "nine hundred million, nine hundred seventeen thousand, four hundred seventy-two".