900149760 has 240 divisors, whose sum is σ = 3235167936. Its totient is φ = 239874048.

The previous prime is 900149753. The next prime is 900149771. The reversal of 900149760 is 67941009.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 621357 + ... + 622803.

Almost surely, 2^900149760 is an apocalyptic number.

900149760 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 900149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617583968).

900149760 is an abundant number, since it is smaller than the sum of its proper divisors (2335018176).

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

900149760 is an equidigital number, since it uses as much as digits as its factorization.

900149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 900149760 is about 30002.4958961750. The cubic root of 900149760 is about 965.5429341134.

The spelling of 900149760 in words is "nine hundred million, one hundred forty-nine thousand, seven hundred sixty".