900979200 has 600 divisors, whose sum is σ = 3683782080. Its totient is φ = 215654400.

The previous prime is 900979199. The next prime is 900979201. The reversal of 900979200 is 2979009.

It is an interprime number because it is at equal distance from previous prime (900979199) and next prime (900979201).

It is a tau number, because it is divible by the number of its divisors (600).

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 (900979201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11404761 + ... + 11404839.

Almost surely, 2^900979200 is an apocalyptic number.

900979200 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 900979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841891040).

900979200 is an abundant number, since it is smaller than the sum of its proper divisors (2782802880).

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

900979200 is a wasteful number, since it uses less digits than its factorization.

900979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 900979200 is about 30016.3155633732. The cubic root of 900979200 is about 965.8394085111.

It can be divided in two parts, 9009 and 79200, that added together give a square (88209 = 297²).

The spelling of 900979200 in words is "nine hundred million, nine hundred seventy-nine thousand, two hundred".