42285300 has 72 divisors (see below), whose sum is σ = 124471200. Its totient is φ = 11080320.

The previous prime is 42285253. The next prime is 42285343. The reversal of 42285300 is 358224.

42285300 = 31² + 32² + ... + 502².

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, 16506 + ... + 18894.

Almost surely, 2^42285300 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 42285300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62235600).

42285300 is an abundant number, since it is smaller than the sum of its proper divisors (82185900).

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

42285300 is a wasteful number, since it uses less digits than its factorization.

42285300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42285300 is about 6502.7148176742. The cubic root of 42285300 is about 348.3879607760.

The spelling of 42285300 in words is "forty-two million, two hundred eighty-five thousand, three hundred".