218401000 has 32 divisors (see below), whose sum is σ = 511060680. Its totient is φ = 87360000.

The previous prime is 218400997. The next prime is 218401033. The reversal of 218401000 is 104812.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37283236 + 181117764 = 6106^2 + 13458^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108201 + ... + 110200.

Almost surely, 2^218401000 is an apocalyptic number.

218401000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218401000 is an abundant number, since it is smaller than the sum of its proper divisors (292659680).

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

218401000 is a wasteful number, since it uses less digits than its factorization.

218401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218422 (or 218408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 218401000 is about 14778.3963947378. The cubic root of 218401000 is about 602.2149613302.

Adding to 218401000 its reverse (104812), we get a palindrome (218505812).

The spelling of 218401000 in words is "two hundred eighteen million, four hundred one thousand".