900735552 has 140 divisors (see below), whose sum is σ = 2684922240. Its totient is φ = 298577664.

The previous prime is 900735541. The next prime is 900735557. The reversal of 900735552 is 255537009.

It is a super-2 number, since 2×900735552² = 1622649069273489408, which contains 22 as substring.

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 (900735557) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1238613 + ... + 1239339.

It is an arithmetic number, because the mean of its divisors is an integer number (19178016).

Almost surely, 2^900735552 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 900735552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342461120).

900735552 is an abundant number, since it is smaller than the sum of its proper divisors (1784186688).

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

900735552 is a wasteful number, since it uses less digits than its factorization.

900735552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 900735552 is about 30012.2566962233. The cubic root of 900735552 is about 965.7523380379.

The spelling of 900735552 in words is "nine hundred million, seven hundred thirty-five thousand, five hundred fifty-two".