312500320 has 96 divisors (see below), whose sum is σ = 809567136. Its totient is φ = 113049600.

The previous prime is 312500291. The next prime is 312500329. The reversal of 312500320 is 23005213.

It is a sliding number, since 312500320 = 320 + 312500000 and 1/320 + 1/312500000 = 0.00312500320.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 312500294 and 312500303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312500329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487200 + ... + 487840.

It is an arithmetic number, because the mean of its divisors is an integer number (8432991).

Almost surely, 2^312500320 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 312500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404783568).

312500320 is an abundant number, since it is smaller than the sum of its proper divisors (497066816).

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

312500320 is a wasteful number, since it uses less digits than its factorization.

312500320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 312500320 is about 17677.6785806282. The cubic root of 312500320 is about 678.6046357790.

Adding to 312500320 its reverse (23005213), we get a palindrome (335505533).

It can be divided in two parts, 312500 and 320, that multiplied together give a 8-th power (100000000 = 10⁸).

The spelling of 312500320 in words is "three hundred twelve million, five hundred thousand, three hundred twenty".