216483840 has 336 divisors, whose sum is σ = 805650300. Its totient is φ = 55738368.

The previous prime is 216483829. The next prime is 216483863. The reversal of 216483840 is 48384612.

216483840 is a `hidden beast` number, since 2 + 1 + 648 + 3 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 215737344 + 746496 = 14688^2 + 864^2 .

It is a super-2 number, since 2×216483840² = 93730505962291200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 216483795 and 216483804.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7464946 + ... + 7464974.

Almost surely, 2^216483840 is an apocalyptic number.

216483840 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 216483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402825150).

216483840 is an abundant number, since it is smaller than the sum of its proper divisors (589166460).

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

216483840 is an frugal number, since it uses more digits than its factorization.

216483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 216483840 is about 14713.3898201604. The cubic root of 216483840 is about 600.4476659090.

The spelling of 216483840 in words is "two hundred sixteen million, four hundred eighty-three thousand, eight hundred forty".