42424720 has 120 divisors (see below), whose sum is σ = 113102136. Its totient is φ = 14708736.

The previous prime is 42424699. The next prime is 42424727. The reversal of 42424720 is 2742424.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1669264 + 40755456 = 1292^2 + 6384^2 .

It is not an unprimeable number, because it can be changed into a prime (42424727) 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 23 ways as a sum of consecutive naturals, for example, 375384 + ... + 375496.

Almost surely, 2^42424720 is an apocalyptic number.

42424720 is a gapful number since it is divisible by the number (40) 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 42424720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56551068).

42424720 is an abundant number, since it is smaller than the sum of its proper divisors (70677416).

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

42424720 is a wasteful number, since it uses less digits than its factorization.

42424720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 42424720 is about 6513.4261337640. The cubic root of 42424720 is about 348.7704338348.

The spelling of 42424720 in words is "forty-two million, four hundred twenty-four thousand, seven hundred twenty".