900129360 has 160 divisors (see below), whose sum is σ = 3035305728. Its totient is φ = 219340800.

The previous prime is 900129331. The next prime is 900129421. The reversal of 900129360 is 63921009.

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 31 ways as a sum of consecutive naturals, for example, 319960 + ... + 322760.

Almost surely, 2^900129360 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 900129360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517652864).

900129360 is an abundant number, since it is smaller than the sum of its proper divisors (2135176368).

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

900129360 is a wasteful number, since it uses less digits than its factorization.

900129360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 900129360 is about 30002.1559225333. The cubic root of 900129360 is about 965.5356400587.

The spelling of 900129360 in words is "nine hundred million, one hundred twenty-nine thousand, three hundred sixty".