900492840 has 432 divisors, whose sum is σ = 3426188220. Its totient is φ = 204871680.

The previous prime is 900492829. The next prime is 900492851. The reversal of 900492840 is 48294009.

It is a happy number.

900492840 is a `hidden beast` number, since 90 + 0 + 492 + 84 + 0 = 666.

900492840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (900492829) and next prime (900492851).

It can be written as a sum of positive squares in 6 ways, for example, as 1572516 + 898920324 = 1254^2 + 29982^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 900492795 and 900492804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 21963220 + ... + 21963260.

Almost surely, 2^900492840 is an apocalyptic number.

900492840 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 900492840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713094110).

900492840 is an abundant number, since it is smaller than the sum of its proper divisors (2525695380).

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

900492840 is a wasteful number, since it uses less digits than its factorization.

900492840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 900492840 is about 30008.2128758112. The cubic root of 900492840 is about 965.6655864425.

The spelling of 900492840 in words is "nine hundred million, four hundred ninety-two thousand, eight hundred forty".