42167448 has 48 divisors (see below), whose sum is σ = 114936120. Its totient is φ = 13965696.

The previous prime is 42167443. The next prime is 42167449. The reversal of 42167448 is 84476124.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42167443) 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 11 ways as a sum of consecutive naturals, for example, 9940 + ... + 13532.

Almost surely, 2^42167448 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 42167448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57468060).

42167448 is an abundant number, since it is smaller than the sum of its proper divisors (72768672).

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

42167448 is a wasteful number, since it uses less digits than its factorization.

42167448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3761 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 42167448 is about 6493.6467412387. The cubic root of 42167448 is about 348.0639993273.

It can be divided in two parts, 4216 and 7448, that added together give a square (11664 = 108²).

The spelling of 42167448 in words is "forty-two million, one hundred sixty-seven thousand, four hundred forty-eight".