218874964 has 72 divisors (see below), whose sum is σ = 490674240. Its totient is φ = 85174320.

The previous prime is 218874937. The next prime is 218874967. The reversal of 218874964 is 469478812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218874967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260457 + ... + 261295.

It is an arithmetic number, because the mean of its divisors is an integer number (6814920).

Almost surely, 2^218874964 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 218874964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245337120).

218874964 is an abundant number, since it is smaller than the sum of its proper divisors (271799276).

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

218874964 is a wasteful number, since it uses less digits than its factorization.

218874964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 859 counting only the distinct ones).

The product of its digits is 774144, while the sum is 49.

The square root of 218874964 is about 14794.4234088389. The cubic root of 218874964 is about 602.6502798285.

The spelling of 218874964 in words is "two hundred eighteen million, eight hundred seventy-four thousand, nine hundred sixty-four".