216456020 has 48 divisors (see below), whose sum is σ = 500326848. Its totient is φ = 78005760.

The previous prime is 216456011. The next prime is 216456041. The reversal of 216456020 is 20654612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20507 + ... + 29213.

It is an arithmetic number, because the mean of its divisors is an integer number (10423476).

Almost surely, 2^216456020 is an apocalyptic number.

216456020 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 216456020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250163424).

216456020 is an abundant number, since it is smaller than the sum of its proper divisors (283870828).

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

216456020 is a wasteful number, since it uses less digits than its factorization.

216456020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8840 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 216456020 is about 14712.4443924183. Note that the first 3 decimals coincide. The cubic root of 216456020 is about 600.4219439434.

The spelling of 216456020 in words is "two hundred sixteen million, four hundred fifty-six thousand, twenty".