215856480 has 192 divisors, whose sum is σ = 823011840. Its totient is φ = 46424064.

The previous prime is 215856479. The next prime is 215856481. The reversal of 215856480 is 84658512.

It is an interprime number because it is at equal distance from previous prime (215856479) and next prime (215856481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215856481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55231 + ... + 59009.

It is an arithmetic number, because the mean of its divisors is an integer number (4286520).

Almost surely, 2^215856480 is an apocalyptic number.

215856480 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 215856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411505920).

215856480 is an abundant number, since it is smaller than the sum of its proper divisors (607155360).

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

215856480 is a wasteful number, since it uses less digits than its factorization.

215856480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 215856480 is about 14692.0549958132. The cubic root of 215856480 is about 599.8670816678.

The spelling of 215856480 in words is "two hundred fifteen million, eight hundred fifty-six thousand, four hundred eighty".