42384960 has 84 divisors (see below), whose sum is σ = 145796508. Its totient is φ = 11301888.

The previous prime is 42384959. The next prime is 42384983. The reversal of 42384960 is 6948324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 28901376 = 3672^2 + 5376^2 .

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

It is an unprimeable number.

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, 4479 + ... + 10238.

Almost surely, 2^42384960 is an apocalyptic number.

42384960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42384960 is an abundant number, since it is smaller than the sum of its proper divisors (103411548).

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

42384960 is a wasteful number, since it uses less digits than its factorization.

42384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14740 (or 14727 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42384960 is about 6510.3732611886. The cubic root of 42384960 is about 348.6614451230.

The spelling of 42384960 in words is "forty-two million, three hundred eighty-four thousand, nine hundred sixty".