217488540 has 48 divisors (see below), whose sum is σ = 609638400. Its totient is φ = 57933120.

The previous prime is 217488533. The next prime is 217488541. The reversal of 217488540 is 45884712.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217488541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82645 + ... + 85235.

It is an arithmetic number, because the mean of its divisors is an integer number (12700800).

Almost surely, 2^217488540 is an apocalyptic number.

217488540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217488540 is an abundant number, since it is smaller than the sum of its proper divisors (392149860).

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

217488540 is a wasteful number, since it uses less digits than its factorization.

217488540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 217488540 is about 14747.4926682470. The cubic root of 217488540 is about 601.3751237612.

The spelling of 217488540 in words is "two hundred seventeen million, four hundred eighty-eight thousand, five hundred forty".