900343440 has 120 divisors (see below), whose sum is σ = 3039948288. Its totient is φ = 238798080.

The previous prime is 900343439. The next prime is 900343463. The reversal of 900343440 is 44343009.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134247 + ... + 140793.

Almost surely, 2^900343440 is an apocalyptic number.

900343440 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 900343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519974144).

900343440 is an abundant number, since it is smaller than the sum of its proper divisors (2139604848).

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

900343440 is a wasteful number, since it uses less digits than its factorization.

900343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6757 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 900343440 is about 30005.7234540346. The cubic root of 900343440 is about 965.6121792372.

Adding to 900343440 its reverse (44343009), we get a palindrome (944686449).

The spelling of 900343440 in words is "nine hundred million, three hundred forty-three thousand, four hundred forty".