900352314 has 64 divisors (see below), whose sum is σ = 2041476480. Its totient is φ = 294053760.

The previous prime is 900352303. The next prime is 900352337. The reversal of 900352314 is 413253009.

900352314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1458934 + ... + 1459550.

It is an arithmetic number, because the mean of its divisors is an integer number (31898070).

Almost surely, 2^900352314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900352314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020738240).

900352314 is an abundant number, since it is smaller than the sum of its proper divisors (1141124166).

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

900352314 is a wasteful number, since it uses less digits than its factorization.

900352314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 900352314 is about 30005.8713254590. The cubic root of 900352314 is about 965.6153516615.

The spelling of 900352314 in words is "nine hundred million, three hundred fifty-two thousand, three hundred fourteen".