312478140 has 96 divisors (see below), whose sum is σ = 972711936. Its totient is φ = 74430720.

The previous prime is 312478087. The next prime is 312478189. The reversal of 312478140 is 41874213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 312478098 and 312478107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17719 + ... + 30641.

It is an arithmetic number, because the mean of its divisors is an integer number (10132416).

Almost surely, 2^312478140 is an apocalyptic number.

312478140 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 312478140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486355968).

312478140 is an abundant number, since it is smaller than the sum of its proper divisors (660233796).

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

312478140 is a wasteful number, since it uses less digits than its factorization.

312478140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12979 (or 12977 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 312478140 is about 17677.0512246811. The cubic root of 312478140 is about 678.5885805347.

The spelling of 312478140 in words is "three hundred twelve million, four hundred seventy-eight thousand, one hundred forty".