42978312 has 192 divisors, whose sum is σ = 138181680. Its totient is φ = 11943936.

The previous prime is 42978311. The next prime is 42978317. The reversal of 42978312 is 21387924.

It can be written as a sum of positive squares in 8 ways, for example, as 30404196 + 12574116 = 5514^2 + 3546^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42978311) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 588708 + ... + 588780.

Almost surely, 2^42978312 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 42978312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69090840).

42978312 is an abundant number, since it is smaller than the sum of its proper divisors (95203368).

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

42978312 is a wasteful number, since it uses less digits than its factorization.

42978312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 42978312 is about 6555.7846212334. The cubic root of 42978312 is about 350.2808955929.

The spelling of 42978312 in words is "forty-two million, nine hundred seventy-eight thousand, three hundred twelve".