312863040 has 336 divisors, whose sum is σ = 1285646400. Its totient is φ = 71414784.

The previous prime is 312863039. The next prime is 312863059. The reversal of 312863040 is 40368213.

It is a happy number.

312863040 is a `hidden beast` number, since 3 + 1 + 28 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 312862995 and 312863013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422991 + ... + 423729.

Almost surely, 2^312863040 is an apocalyptic number.

312863040 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 312863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642823200).

312863040 is an abundant number, since it is smaller than the sum of its proper divisors (972783360).

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

312863040 is a wasteful number, since it uses less digits than its factorization.

312863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 312863040 is about 17687.9348709791. The cubic root of 312863040 is about 678.8670870320.

The spelling of 312863040 in words is "three hundred twelve million, eight hundred sixty-three thousand, forty".