218480800 has 72 divisors (see below), whose sum is σ = 546457212. Its totient is φ = 85248000.

The previous prime is 218480797. The next prime is 218480803. The reversal of 218480800 is 8084812.

It is an interprime number because it is at equal distance from previous prime (218480797) and next prime (218480803).

It can be written as a sum of positive squares in 6 ways, for example, as 76108176 + 142372624 = 8724^2 + 11932^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (218480803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29470 + ... + 36130.

Almost surely, 2^218480800 is an apocalyptic number.

218480800 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 218480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273228606).

218480800 is an abundant number, since it is smaller than the sum of its proper divisors (327976412).

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

218480800 is a wasteful number, since it uses less digits than its factorization.

218480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 218480800 is about 14781.0960351389. The cubic root of 218480800 is about 602.2882987570.

The spelling of 218480800 in words is "two hundred eighteen million, four hundred eighty thousand, eight hundred".