900257280 has 320 divisors, whose sum is σ = 3167797248. Its totient is φ = 216760320.

The previous prime is 900257279. The next prime is 900257333. The reversal of 900257280 is 82752009.

It is a tau number, because it is divible by the number of its divisors (320).

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, 7088577 + ... + 7088703.

Almost surely, 2^900257280 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 900257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583898624).

900257280 is an abundant number, since it is smaller than the sum of its proper divisors (2267539968).

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

900257280 is a wasteful number, since it uses less digits than its factorization.

900257280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

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

The square root of 900257280 is about 30004.2876935947. The cubic root of 900257280 is about 965.5813762511.

The spelling of 900257280 in words is "nine hundred million, two hundred fifty-seven thousand, two hundred eighty".