42854760 has 96 divisors (see below), whose sum is σ = 150008040. Its totient is φ = 10547712.

The previous prime is 42854759. The next prime is 42854783. The reversal of 42854760 is 6745824.

42854760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17994564 + 24860196 = 4242^2 + 4986^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 102 + ... + 9258.

Almost surely, 2^42854760 is an apocalyptic number.

42854760 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 42854760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75004020).

42854760 is an abundant number, since it is smaller than the sum of its proper divisors (107153280).

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

42854760 is a wasteful number, since it uses less digits than its factorization.

42854760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9187 (or 9180 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42854760 is about 6546.3547108295. The cubic root of 42854760 is about 349.9449165014.

It can be divided in two parts, 4285 and 4760, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 42854760 in words is "forty-two million, eight hundred fifty-four thousand, seven hundred sixty".