900315 has 56 divisors (see below), whose sum is σ = 1836240. Its totient is φ = 419904.

The previous prime is 900307. The next prime is 900329. The reversal of 900315 is 513009.

900315 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 900315 - 2³ = 900307 is a prime.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 47376 + ... + 47394.

It is an arithmetic number, because the mean of its divisors is an integer number (32790).

2⁹⁰⁰³¹⁵ is an apocalyptic number.

900315 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

900315 is an abundant number, since it is smaller than the sum of its proper divisors (935925).

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

900315 is a wasteful number, since it uses less digits than its factorization.

900315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 900315 is about 948.8493031035. The cubic root of 900315 is about 96.5602011895.

The spelling of 900315 in words is "nine hundred thousand, three hundred fifteen".