42284760 has 128 divisors (see below), whose sum is σ = 147225600. Its totient is φ = 9515520.

The previous prime is 42284731. The next prime is 42284771. The reversal of 42284760 is 6748224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59286 + ... + 59994.

It is an arithmetic number, because the mean of its divisors is an integer number (1150200).

Almost surely, 2^42284760 is an apocalyptic number.

42284760 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 42284760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73612800).

42284760 is an abundant number, since it is smaller than the sum of its proper divisors (104940840).

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

42284760 is a wasteful number, since it uses less digits than its factorization.

42284760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 42284760 is about 6502.6732964220. The cubic root of 42284760 is about 348.3864777523.

The spelling of 42284760 in words is "forty-two million, two hundred eighty-four thousand, seven hundred sixty".