312315000 has 160 divisors (see below), whose sum is σ = 998680320. Its totient is φ = 81328000.

The previous prime is 312314993. The next prime is 312315011. The reversal of 312315000 is 513213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 704779 + ... + 705221.

It is an arithmetic number, because the mean of its divisors is an integer number (6241752).

Almost surely, 2^312315000 is an apocalyptic number.

312315000 is a gapful number since it is divisible by the number (30) 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 312315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499340160).

312315000 is an abundant number, since it is smaller than the sum of its proper divisors (686365320).

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

312315000 is a wasteful number, since it uses less digits than its factorization.

312315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 312315000 is about 17672.4361648302. The cubic root of 312315000 is about 678.4704664458.

Adding to 312315000 its reverse (513213), we get a palindrome (312828213).

The spelling of 312315000 in words is "three hundred twelve million, three hundred fifteen thousand".