42384720 has 80 divisors (see below), whose sum is σ = 150168960. Its totient is φ = 9687552.

The previous prime is 42384701. The next prime is 42384731. The reversal of 42384720 is 2748324.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10935 + ... + 14294.

It is an arithmetic number, because the mean of its divisors is an integer number (1877112).

Almost surely, 2^42384720 is an apocalyptic number.

42384720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42384720 is an abundant number, since it is smaller than the sum of its proper divisors (107784240).

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

42384720 is a wasteful number, since it uses less digits than its factorization.

42384720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25252 (or 25246 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 42384720 is about 6510.3548290397. The cubic root of 42384720 is about 348.6607870366.

The spelling of 42384720 in words is "forty-two million, three hundred eighty-four thousand, seven hundred twenty".