42784720 has 40 divisors (see below), whose sum is σ = 108519840. Its totient is φ = 15557760.

The previous prime is 42784697. The next prime is 42784723. The reversal of 42784720 is 2748724.

42784720 = 158² + 159² + ... + 509².

42784720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42784723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23430 + ... + 25189.

It is an arithmetic number, because the mean of its divisors is an integer number (2712996).

Almost surely, 2^42784720 is an apocalyptic number.

42784720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42784720 is an abundant number, since it is smaller than the sum of its proper divisors (65735120).

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

42784720 is a wasteful number, since it uses less digits than its factorization.

42784720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48643 (or 48637 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 42784720 is about 6541.0029811949. The cubic root of 42784720 is about 349.7541675090.

It can be divided in two parts, 4278 and 4720, that added together give a palindrome (8998).

The spelling of 42784720 in words is "forty-two million, seven hundred eighty-four thousand, seven hundred twenty".