900946800 has 720 divisors, whose sum is σ = 3761092608. Its totient is φ = 205286400.

The previous prime is 900946757. The next prime is 900946819. The reversal of 900946800 is 8649009.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29062785 + ... + 29062815.

Almost surely, 2^900946800 is an apocalyptic number.

900946800 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 900946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880546304).

900946800 is an abundant number, since it is smaller than the sum of its proper divisors (2860145808).

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

900946800 is a wasteful number, since it uses less digits than its factorization.

900946800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 900946800 is about 30015.7758520415. The cubic root of 900946800 is about 965.8278308957.

The spelling of 900946800 in words is "nine hundred million, nine hundred forty-six thousand, eight hundred".