42525200 has 60 divisors (see below), whose sum is σ = 104699028. Its totient is φ = 16588800.

The previous prime is 42525199. The next prime is 42525227. The reversal of 42525200 is 252524.

It can be written as a sum of positive squares in 6 ways, for example, as 5607424 + 36917776 = 2368^2 + 6076^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15104 + ... + 17696.

Almost surely, 2^42525200 is an apocalyptic number.

42525200 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 42525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52349514).

42525200 is an abundant number, since it is smaller than the sum of its proper divisors (62173828).

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

42525200 is a wasteful number, since it uses less digits than its factorization.

42525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 42525200 is about 6521.1348705574. The cubic root of 42525200 is about 349.0455629164.

Adding to 42525200 its reverse (252524), we get a palindrome (42777724).

The spelling of 42525200 in words is "forty-two million, five hundred twenty-five thousand, two hundred".