42858400 has 108 divisors (see below), whose sum is σ = 113652882. Its totient is φ = 15774720.

The previous prime is 42858391. The next prime is 42858419. The reversal of 42858400 is 485824.

It can be written as a sum of positive squares in 9 ways, for example, as 6906384 + 35952016 = 2628^2 + 5996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 135042 + ... + 135358.

Almost surely, 2^42858400 is an apocalyptic number.

42858400 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 42858400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56826441).

42858400 is an abundant number, since it is smaller than the sum of its proper divisors (70794482).

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

42858400 is a wasteful number, since it uses less digits than its factorization.

42858400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 42858400 is about 6546.6327222474. The cubic root of 42858400 is about 349.9548241012.

The spelling of 42858400 in words is "forty-two million, eight hundred fifty-eight thousand, four hundred".