215952480 has 240 divisors, whose sum is σ = 803159280. Its totient is φ = 54494208.

The previous prime is 215952467. The next prime is 215952481. The reversal of 215952480 is 84259512.

215952480 is a `hidden beast` number, since 2 + 1 + 59 + 524 + 80 = 666.

215952480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215952481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245802 + ... + 246678.

It is an arithmetic number, because the mean of its divisors is an integer number (3346497).

Almost surely, 2^215952480 is an apocalyptic number.

215952480 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 215952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401579640).

215952480 is an abundant number, since it is smaller than the sum of its proper divisors (587206800).

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

215952480 is a wasteful number, since it uses less digits than its factorization.

215952480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 215952480 is about 14695.3217045426. The cubic root of 215952480 is about 599.9559967729.

The spelling of 215952480 in words is "two hundred fifteen million, nine hundred fifty-two thousand, four hundred eighty".