42488424 has 72 divisors (see below), whose sum is σ = 126510930. Its totient is φ = 12872640.

The previous prime is 42488417. The next prime is 42488441.

42488424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 39312900 + 3175524 = 6270^2 + 1782^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6274 + ... + 11150.

Almost surely, 2^42488424 is an apocalyptic number.

42488424 is a gapful number since it is divisible by the number (44) 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 42488424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63255465).

42488424 is an abundant number, since it is smaller than the sum of its proper divisors (84022506).

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

42488424 is a wasteful number, since it uses less digits than its factorization.

42488424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4893 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 42488424 is about 6518.3145060667. The cubic root of 42488424 is about 348.9449151299.

The spelling of 42488424 in words is "forty-two million, four hundred eighty-eight thousand, four hundred twenty-four".