216436440 has 128 divisors (see below), whose sum is σ = 739238400. Its totient is φ = 50181120.

The previous prime is 216436427. The next prime is 216436477. The reversal of 216436440 is 44634612.

It is a super-3 number, since 3×216436440³ (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 216436398 and 216436407.

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, 26796 + ... + 33924.

It is an arithmetic number, because the mean of its divisors is an integer number (5775300).

Almost surely, 2^216436440 is an apocalyptic number.

216436440 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 216436440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369619200).

216436440 is an abundant number, since it is smaller than the sum of its proper divisors (522801960).

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

216436440 is a wasteful number, since it uses less digits than its factorization.

216436440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7177 (or 7173 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 216436440 is about 14711.7789542937. The cubic root of 216436440 is about 600.4038392399.

The spelling of 216436440 in words is "two hundred sixteen million, four hundred thirty-six thousand, four hundred forty".