312755040 has 192 divisors, whose sum is σ = 1179057600. Its totient is φ = 76972032.

The previous prime is 312755021. The next prime is 312755041. The reversal of 312755040 is 40557213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 312754995 and 312755013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312755041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53376 + ... + 58944.

It is an arithmetic number, because the mean of its divisors is an integer number (6140925).

Almost surely, 2^312755040 is an apocalyptic number.

312755040 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 312755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589528800).

312755040 is an abundant number, since it is smaller than the sum of its proper divisors (866302560).

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

312755040 is a wasteful number, since it uses less digits than its factorization.

312755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5606 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 312755040 is about 17684.8816789935. The cubic root of 312755040 is about 678.7889633016.

It can be divided in two parts, 31275 and 5040, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 312755040 in words is "three hundred twelve million, seven hundred fifty-five thousand, forty".