415242300 has 144 divisors (see below), whose sum is σ = 1356163200. Its totient is φ = 97171200.

The previous prime is 415242287. The next prime is 415242307. The reversal of 415242300 is 3242514.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415242307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93531 + ... + 97869.

It is an arithmetic number, because the mean of its divisors is an integer number (9417800).

Almost surely, 2^415242300 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 415242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678081600).

415242300 is an abundant number, since it is smaller than the sum of its proper divisors (940920900).

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

415242300 is a wasteful number, since it uses less digits than its factorization.

415242300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 415242300 is about 20377.4949392706. The cubic root of 415242300 is about 746.0487309651.

Adding to 415242300 its reverse (3242514), we get a palindrome (418484814).

The spelling of 415242300 in words is "four hundred fifteen million, two hundred forty-two thousand, three hundred".