42900 has 72 divisors (see below), whose sum is σ = 145824. Its totient is φ = 9600.

The previous prime is 42899. The next prime is 42901. The reversal of 42900 is 924.

42900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42899) and next prime (42901).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 42900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3294 + ... + 3306.

2⁴²⁹⁰⁰ 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 42900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72912).

42900 is an abundant number, since it is smaller than the sum of its proper divisors (102924).

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

42900 is a wasteful number, since it uses less digits than its factorization.

42900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 42900 is about 207.1231517721. The cubic root of 42900 is about 35.0068013993.

The spelling of 42900 in words is "forty-two thousand, nine hundred".