42615200 has 36 divisors (see below), whose sum is σ = 104036310. Its totient is φ = 17045760.

The previous prime is 42615197. The next prime is 42615203. The reversal of 42615200 is 251624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42615197) and next prime (42615203).

It can be written as a sum of positive squares in 3 ways, for example, as 21418384 + 21196816 = 4628^2 + 4604^2 .

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 (42615203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25835 + ... + 27434.

Almost surely, 2^42615200 is an apocalyptic number.

42615200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42615200 is an abundant number, since it is smaller than the sum of its proper divisors (61421110).

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

42615200 is a wasteful number, since it uses less digits than its factorization.

42615200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53289 (or 53276 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 42615200 is about 6528.0318626673. The cubic root of 42615200 is about 349.2916285055.

Adding to 42615200 its reverse (251624), we get a palindrome (42866824).

The spelling of 42615200 in words is "forty-two million, six hundred fifteen thousand, two hundred".