312545040 has 80 divisors (see below), whose sum is σ = 976383936. Its totient is φ = 82700800.

The previous prime is 312545033. The next prime is 312545063. The reversal of 312545040 is 40545213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 312545040.

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, 26470 + ... + 36410.

Almost surely, 2^312545040 is an apocalyptic number.

312545040 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 312545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488191968).

312545040 is an abundant number, since it is smaller than the sum of its proper divisors (663838896).

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

312545040 is a wasteful number, since it uses less digits than its factorization.

312545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10088 (or 10082 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 312545040 is about 17678.9434073420. The cubic root of 312545040 is about 678.6370045478.

The spelling of 312545040 in words is "three hundred twelve million, five hundred forty-five thousand, forty".