42284160 has 128 divisors (see below), whose sum is σ = 149817600. Its totient is φ = 11271168.

The previous prime is 42284147. The next prime is 42284171. The reversal of 42284160 is 6148224.

42284160 is a `hidden beast` number, since 422 + 84 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 16057 + ... + 18503.

It is an arithmetic number, because the mean of its divisors is an integer number (1170450).

Almost surely, 2^42284160 is an apocalyptic number.

42284160 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 42284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74908800).

42284160 is an abundant number, since it is smaller than the sum of its proper divisors (107533440).

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

42284160 is a wasteful number, since it uses less digits than its factorization.

42284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42284160 is about 6502.6271613864. The cubic root of 42284160 is about 348.3848299335.

The spelling of 42284160 in words is "forty-two million, two hundred eighty-four thousand, one hundred sixty".