218477040 has 80 divisors (see below), whose sum is σ = 679280928. Its totient is φ = 58088448.

The previous prime is 218477033. The next prime is 218477041. The reversal of 218477040 is 40774812.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 218476992 and 218477010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218477041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94134 + ... + 96426.

Almost surely, 2^218477040 is an apocalyptic number.

218477040 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 218477040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339640464).

218477040 is an abundant number, since it is smaller than the sum of its proper divisors (460803888).

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

218477040 is a wasteful number, since it uses less digits than its factorization.

218477040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 218477040 is about 14780.9688451062. The cubic root of 218477040 is about 602.2848436601.

The spelling of 218477040 in words is "two hundred eighteen million, four hundred seventy-seven thousand, forty".