900389520 has 200 divisors, whose sum is σ = 3204404280. Its totient is φ = 234178560.

The previous prime is 900389507. The next prime is 900389521. The reversal of 900389520 is 25983009.

900389520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 103795344 + 796594176 = 10188^2 + 28224^2 .

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

It is not an unprimeable number, because it can be changed into a prime (900389521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 263986 + ... + 267374.

Almost surely, 2^900389520 is an apocalyptic number.

900389520 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 900389520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602202140).

900389520 is an abundant number, since it is smaller than the sum of its proper divisors (2304014760).

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

900389520 is a wasteful number, since it uses less digits than its factorization.

900389520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 900389520 is about 30006.4912977176. The cubic root of 900389520 is about 965.6286524511.

The spelling of 900389520 in words is "nine hundred million, three hundred eighty-nine thousand, five hundred twenty".