218500416 has 140 divisors (see below), whose sum is σ = 655187412. Its totient is φ = 71995392.

The previous prime is 218500411. The next prime is 218500421. The reversal of 218500416 is 614005812.

It is an interprime number because it is at equal distance from previous prime (218500411) and next prime (218500421).

It can be written as a sum of positive squares in 2 ways, for example, as 46785600 + 171714816 = 6840^2 + 13104^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 218500416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218500411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 585606 + ... + 585978.

Almost surely, 2^218500416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218500416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327593706).

218500416 is an abundant number, since it is smaller than the sum of its proper divisors (436686996).

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

218500416 is a wasteful number, since it uses less digits than its factorization.

218500416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 218500416 is about 14781.7595704977. The cubic root of 218500416 is about 602.3063234282.

The spelling of 218500416 in words is "two hundred eighteen million, five hundred thousand, four hundred sixteen".