42648312 has 128 divisors (see below), whose sum is σ = 132710400. Its totient is φ = 11145600.

The previous prime is 42648311. The next prime is 42648337. The reversal of 42648312 is 21384624.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42648312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42648311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98737 + ... + 99167.

It is an arithmetic number, because the mean of its divisors is an integer number (1036800).

Almost surely, 2^42648312 is an apocalyptic number.

42648312 is a gapful number since it is divisible by the number (42) 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 42648312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66355200).

42648312 is an abundant number, since it is smaller than the sum of its proper divisors (90062088).

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

42648312 is a wasteful number, since it uses less digits than its factorization.

42648312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 42648312 is about 6530.5675097958. The cubic root of 42648312 is about 349.3820715882.

The spelling of 42648312 in words is "forty-two million, six hundred forty-eight thousand, three hundred twelve".