900574080 has 256 divisors, whose sum is σ = 3371189760. Its totient is φ = 200171520.

The previous prime is 900574079. The next prime is 900574109. The reversal of 900574080 is 80475009.

900574080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×900574080² = 1622067347135692800, which contains 22 as substring.

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, 496375 + ... + 498185.

It is an arithmetic number, because the mean of its divisors is an integer number (13168710).

Almost surely, 2^900574080 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 900574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685594880).

900574080 is an abundant number, since it is smaller than the sum of its proper divisors (2470615680).

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

900574080 is a wasteful number, since it uses less digits than its factorization.

900574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 900574080 is about 30009.5664747094. The cubic root of 900574080 is about 965.6946254715.

The spelling of 900574080 in words is "nine hundred million, five hundred seventy-four thousand, eighty".