42429760 has 56 divisors (see below), whose sum is σ = 102595680. Its totient is φ = 16710144.

The previous prime is 42429757. The next prime is 42429769. The reversal of 42429760 is 6792424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42429769) 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 7 ways as a sum of consecutive naturals, for example, 20451 + ... + 22429.

Almost surely, 2^42429760 is an apocalyptic number.

42429760 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 42429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51297840).

42429760 is an abundant number, since it is smaller than the sum of its proper divisors (60165920).

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

42429760 is a wasteful number, since it uses less digits than its factorization.

42429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 42429760 is about 6513.8130154311. The cubic root of 42429760 is about 348.7842444416.

The spelling of 42429760 in words is "forty-two million, four hundred twenty-nine thousand, seven hundred sixty".