900366480 has 480 divisors, whose sum is σ = 3509775360. Its totient is φ = 205148160.

The previous prime is 900366469. The next prime is 900366517. The reversal of 900366480 is 84663009.

900366480 is a `hidden beast` number, since 9 + 0 + 0 + 3 + 6 + 648 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8414587 + ... + 8414693.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2^900366480 is an apocalyptic number.

900366480 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 900366480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754887680).

900366480 is an abundant number, since it is smaller than the sum of its proper divisors (2609408880).

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

900366480 is a wasteful number, since it uses less digits than its factorization.

900366480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 900366480 is about 30006.1073783322. The cubic root of 900366480 is about 965.6204159144.

The spelling of 900366480 in words is "nine hundred million, three hundred sixty-six thousand, four hundred eighty".