312745040 has 40 divisors (see below), whose sum is σ = 732040200. Its totient is φ = 124253696.

The previous prime is 312745033. The next prime is 312745061. The reversal of 312745040 is 40547213.

It can be written as a sum of positive squares in 4 ways, for example, as 3125824 + 309619216 = 1768^2 + 17596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1199 + ... + 25038.

It is an arithmetic number, because the mean of its divisors is an integer number (18301005).

Almost surely, 2^312745040 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 312745040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366020100).

312745040 is an abundant number, since it is smaller than the sum of its proper divisors (419295160).

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

312745040 is a wasteful number, since it uses less digits than its factorization.

312745040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26399 (or 26393 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 312745040 is about 17684.5989493683. The cubic root of 312745040 is about 678.7817287132.

The spelling of 312745040 in words is "three hundred twelve million, seven hundred forty-five thousand, forty".