215415200 has 288 divisors, whose sum is σ = 708704640. Its totient is φ = 61747200.

The previous prime is 215415191. The next prime is 215415203. The reversal of 215415200 is 2514512.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215415203) 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, 800666 + ... + 800934.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2^215415200 is an apocalyptic number.

215415200 is a gapful number since it is divisible by the number (20) 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 215415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354352320).

215415200 is an abundant number, since it is smaller than the sum of its proper divisors (493289440).

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

215415200 is a wasteful number, since it uses less digits than its factorization.

215415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 215415200 is about 14677.0296722464. The cubic root of 215415200 is about 599.4580291118.

Adding to 215415200 its reverse (2514512), we get a palindrome (217929712).

The spelling of 215415200 in words is "two hundred fifteen million, four hundred fifteen thousand, two hundred".