42435200 has 96 divisors (see below), whose sum is σ = 106717500. Its totient is φ = 16670720.

The previous prime is 42435181. The next prime is 42435203. The reversal of 42435200 is 253424.

It can be written as a sum of positive squares in 6 ways, for example, as 2795584 + 39639616 = 1672^2 + 6296^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42435203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284726 + ... + 284874.

Almost surely, 2^42435200 is an apocalyptic number.

42435200 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 42435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53358750).

42435200 is an abundant number, since it is smaller than the sum of its proper divisors (64282300).

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

42435200 is a wasteful number, since it uses less digits than its factorization.

42435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 42435200 is about 6514.2305762078. The cubic root of 42435200 is about 348.7991499011.

Adding to 42435200 its reverse (253424), we get a palindrome (42688624).

The spelling of 42435200 in words is "forty-two million, four hundred thirty-five thousand, two hundred".