900585000 has 320 divisors, whose sum is σ = 3576355200. Its totient is φ = 205632000.

The previous prime is 900584977. The next prime is 900585011. The reversal of 900585000 is 585009.

It is a super-2 number, since 2×900585000² = 1622106684450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 944524 + ... + 945476.

It is an arithmetic number, because the mean of its divisors is an integer number (11176110).

Almost surely, 2^900585000 is an apocalyptic number.

900585000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900585000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788177600).

900585000 is an abundant number, since it is smaller than the sum of its proper divisors (2675770200).

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

900585000 is a wasteful number, since it uses less digits than its factorization.

900585000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 900585000 is about 30009.7484161397. The cubic root of 900585000 is about 965.6985286643.

The spelling of 900585000 in words is "nine hundred million, five hundred eighty-five thousand".