216878480 has 160 divisors (see below), whose sum is σ = 641292288. Its totient is φ = 66424320.

The previous prime is 216878471. The next prime is 216878489. The reversal of 216878480 is 84878612.

216878480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216878471) and next prime (216878489).

It is a super-2 number, since 2×216878480² = 94072550174220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216878489) 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, 6996065 + ... + 6996095.

Almost surely, 2^216878480 is an apocalyptic number.

216878480 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 216878480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320646144).

216878480 is an abundant number, since it is smaller than the sum of its proper divisors (424413808).

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

216878480 is an equidigital number, since it uses as much as digits as its factorization.

216878480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The square root of 216878480 is about 14726.7946274809. The cubic root of 216878480 is about 600.8123071729.

The spelling of 216878480 in words is "two hundred sixteen million, eight hundred seventy-eight thousand, four hundred eighty".