216433980 has 216 divisors, whose sum is σ = 779792832. Its totient is φ = 48432384.

The previous prime is 216433967. The next prime is 216433993. The reversal of 216433980 is 89334612.

216433980 is a `hidden beast` number, since 2 + 1 + 643 + 3 + 9 + 8 + 0 = 666.

216433980 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 (216433967) and next prime (216433993).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 467229 + ... + 467691.

It is an arithmetic number, because the mean of its divisors is an integer number (3610152).

Almost surely, 2^216433980 is an apocalyptic number.

216433980 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 216433980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389896416).

216433980 is an abundant number, since it is smaller than the sum of its proper divisors (563358852).

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

216433980 is a wasteful number, since it uses less digits than its factorization.

216433980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 216433980 is about 14711.6953475798. The cubic root of 216433980 is about 600.4015645166.

The spelling of 216433980 in words is "two hundred sixteen million, four hundred thirty-three thousand, nine hundred eighty".