216353280 has 320 divisors, whose sum is σ = 816697728. Its totient is φ = 48168960.

The previous prime is 216353273. The next prime is 216353299. The reversal of 216353280 is 82353612.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098142 + ... + 1098338.

Almost surely, 2^216353280 is an apocalyptic number.

216353280 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 216353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408348864).

216353280 is an abundant number, since it is smaller than the sum of its proper divisors (600344448).

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

216353280 is a wasteful number, since it uses less digits than its factorization.

216353280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 216353280 is about 14708.9523760192. The cubic root of 216353280 is about 600.3269329368.

It can be divided in two parts, 2163532 and 80, that added together give a palindrome (2163612).

The spelling of 216353280 in words is "two hundred sixteen million, three hundred fifty-three thousand, two hundred eighty".