415440300 has 216 divisors, whose sum is σ = 1365287616. Its totient is φ = 96720000.

The previous prime is 415440293. The next prime is 415440353. The reversal of 415440300 is 3044514.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3171235 + ... + 3171365.

It is an arithmetic number, because the mean of its divisors is an integer number (6320776).

Almost surely, 2^415440300 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 415440300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682643808).

415440300 is an abundant number, since it is smaller than the sum of its proper divisors (949847316).

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

415440300 is a wasteful number, since it uses less digits than its factorization.

415440300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 183 counting only the distinct ones).

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

The square root of 415440300 is about 20382.3526610644. The cubic root of 415440300 is about 746.1672916032.

Adding to 415440300 its reverse (3044514), we get a palindrome (418484814).

The spelling of 415440300 in words is "four hundred fifteen million, four hundred forty thousand, three hundred".