42224464 has 80 divisors (see below), whose sum is σ = 92203920. Its totient is φ = 18636800.

The previous prime is 42224461. The next prime is 42224477. The reversal of 42224464 is 46442224.

It can be written as a sum of positive squares in 8 ways, for example, as 12194064 + 30030400 = 3492^2 + 5480^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42224461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418014 + ... + 418114.

It is an arithmetic number, because the mean of its divisors is an integer number (1152549).

Almost surely, 2^42224464 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 42224464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46101960).

42224464 is an abundant number, since it is smaller than the sum of its proper divisors (49979456).

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

42224464 is a wasteful number, since it uses less digits than its factorization.

42224464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

The square root of 42224464 is about 6498.0353954099. The cubic root of 42224464 is about 348.2208049533.

Adding to 42224464 its reverse (46442224), we get a palindrome (88666688).

The spelling of 42224464 in words is "forty-two million, two hundred twenty-four thousand, four hundred sixty-four".