312150440 has 64 divisors (see below), whose sum is σ = 806889600. Its totient is φ = 106460928.

The previous prime is 312150437. The next prime is 312150451. The reversal of 312150440 is 44051213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52331 + ... + 57989.

It is an arithmetic number, because the mean of its divisors is an integer number (12607650).

Almost surely, 2^312150440 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 312150440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403444800).

312150440 is an abundant number, since it is smaller than the sum of its proper divisors (494739160).

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

312150440 is a wasteful number, since it uses less digits than its factorization.

312150440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5874 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 312150440 is about 17667.7797133652. The cubic root of 312150440 is about 678.3512825928.

The spelling of 312150440 in words is "three hundred twelve million, one hundred fifty thousand, four hundred forty".