42282300 has 72 divisors (see below), whose sum is σ = 123683056. Its totient is φ = 11151360.

The previous prime is 42282263. The next prime is 42282311. The reversal of 42282300 is 328224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28374 + ... + 29826.

Almost surely, 2^42282300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42282300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61841528).

42282300 is an abundant number, since it is smaller than the sum of its proper divisors (81400756).

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

42282300 is a wasteful number, since it uses less digits than its factorization.

42282300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42282300 is about 6502.4841406958. The cubic root of 42282300 is about 348.3797215959.

The spelling of 42282300 in words is "forty-two million, two hundred eighty-two thousand, three hundred".