312501376 has 48 divisors (see below), whose sum is σ = 684336870. Its totient is φ = 142039040.

The previous prime is 312501349. The next prime is 312501377. The reversal of 312501376 is 673105213.

It can be written as a sum of positive squares in only one way, i.e., 242611776 + 69889600 = 15576^2 + 8360^2 .

It is a super-2 number, since 2×312501376² = 195314220003786752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312501377) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5400 + ... + 25576.

Almost surely, 2^312501376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312501376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342168435).

312501376 is an abundant number, since it is smaller than the sum of its proper divisors (371835494).

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

312501376 is a wasteful number, since it uses less digits than its factorization.

312501376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20213 (or 20190 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 312501376 is about 17677.7084487781. The cubic root of 312501376 is about 678.6054001576.

Adding to 312501376 its reverse (673105213), we get a palindrome (985606589).

The spelling of 312501376 in words is "three hundred twelve million, five hundred one thousand, three hundred seventy-six".