312193440 has 480 divisors, whose sum is σ = 1267857360. Its totient is φ = 71663616.

The previous prime is 312193397. The next prime is 312193447. The reversal of 312193440 is 44391213.

312193440 is a `hidden beast` number, since 3 + 1 + 219 + 3 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 150700176 + 161493264 = 12276^2 + 12708^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312193447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2864106 + ... + 2864214.

Almost surely, 2^312193440 is an apocalyptic number.

312193440 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 312193440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633928680).

312193440 is an abundant number, since it is smaller than the sum of its proper divisors (955663920).

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

312193440 is a wasteful number, since it uses less digits than its factorization.

312193440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 312193440 is about 17668.9965759236. The cubic root of 312193440 is about 678.3824297173.

The spelling of 312193440 in words is "three hundred twelve million, one hundred ninety-three thousand, four hundred forty".