900138360 has 192 divisors, whose sum is σ = 3033676800. Its totient is φ = 213410560.

The previous prime is 900138359. The next prime is 900138377. The reversal of 900138360 is 63831009.

900138360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681781 + ... + 683099.

It is an arithmetic number, because the mean of its divisors is an integer number (15800400).

Almost surely, 2^900138360 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 900138360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516838400).

900138360 is an abundant number, since it is smaller than the sum of its proper divisors (2133538440).

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

900138360 is a wasteful number, since it uses less digits than its factorization.

900138360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 900138360 is about 30002.3059113795. The cubic root of 900138360 is about 965.5388580376.

Adding to 900138360 its reverse (63831009), we get a palindrome (963969369).

The spelling of 900138360 in words is "nine hundred million, one hundred thirty-eight thousand, three hundred sixty".