900950544 has 120 divisors (see below), whose sum is σ = 2727997272. Its totient is φ = 275927040.

The previous prime is 900950543. The next prime is 900950599. The reversal of 900950544 is 445059009.

It can be written as a sum of positive squares in 4 ways, for example, as 230400 + 900720144 = 480^2 + 30012^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 900950499 and 900950508.

It is not an unprimeable number, because it can be changed into a prime (900950543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450154 + ... + 452150.

Almost surely, 2^900950544 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 900950544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363998636).

900950544 is an abundant number, since it is smaller than the sum of its proper divisors (1827046728).

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

900950544 is a wasteful number, since it uses less digits than its factorization.

900950544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 900950544 is about 30015.8382191802. The cubic root of 900950544 is about 965.8291687677.

The spelling of 900950544 in words is "nine hundred million, nine hundred fifty thousand, five hundred forty-four".