902200900 has 72 divisors (see below), whose sum is σ = 2017511496. Its totient is φ = 349977600.

The previous prime is 902200891. The next prime is 902200909. The reversal of 902200900 is 9002209.

It is an interprime number because it is at equal distance from previous prime (902200891) and next prime (902200909).

It can be written as a sum of positive squares in 12 ways, for example, as 447999556 + 454201344 = 21166^2 + 21312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (902200909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807142 + ... + 808258.

It is an arithmetic number, because the mean of its divisors is an integer number (28020993).

Almost surely, 2^902200900 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 902200900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008755748).

902200900 is an abundant number, since it is smaller than the sum of its proper divisors (1115310596).

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

902200900 is a wasteful number, since it uses less digits than its factorization.

902200900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 902200900 is about 30036.6592683008. The cubic root of 902200900 is about 966.2757608244.

The spelling of 902200900 in words is "nine hundred two million, two hundred thousand, nine hundred".