312360048 has 360 divisors, whose sum is σ = 1188611424. Its totient is φ = 74511360.

The previous prime is 312360043. The next prime is 312360049. The reversal of 312360048 is 840063213.

It is a happy number.

312360048 is a `hidden beast` number, since 3 + 12 + 3 + 600 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312360043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1585486 + ... + 1585682.

Almost surely, 2^312360048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312360048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594305712).

312360048 is an abundant number, since it is smaller than the sum of its proper divisors (876251376).

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

312360048 is a wasteful number, since it uses less digits than its factorization.

312360048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

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

The square root of 312360048 is about 17673.7106460415. The cubic root of 312360048 is about 678.5030855090.

The spelling of 312360048 in words is "three hundred twelve million, three hundred sixty thousand, forty-eight".