901004900 has 72 divisors (see below), whose sum is σ = 1991330880. Its totient is φ = 353808000.

The previous prime is 901004893. The next prime is 901004959. The reversal of 901004900 is 9400109.

It is a super-3 number, since 3×901004900³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1427585 + ... + 1428215.

Almost surely, 2^901004900 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 901004900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995665440).

901004900 is an abundant number, since it is smaller than the sum of its proper divisors (1090325980).

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

901004900 is a wasteful number, since it uses less digits than its factorization.

901004900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 901004900 is about 30016.7436608304. The cubic root of 901004900 is about 965.8485917926.

The spelling of 901004900 in words is "nine hundred one million, four thousand, nine hundred".