217263480 has 128 divisors (see below), whose sum is σ = 784166400. Its totient is φ = 47043072.

The previous prime is 217263457. The next prime is 217263503. The reversal of 217263480 is 84362712.

It is an interprime number because it is at equal distance from previous prime (217263457) and next prime (217263503).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9154 + ... + 22766.

It is an arithmetic number, because the mean of its divisors is an integer number (6126300).

Almost surely, 2^217263480 is an apocalyptic number.

217263480 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 217263480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392083200).

217263480 is an abundant number, since it is smaller than the sum of its proper divisors (566902920).

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

217263480 is a wasteful number, since it uses less digits than its factorization.

217263480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13653 (or 13649 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 217263480 is about 14739.8602435708. The cubic root of 217263480 is about 601.1676152062.

The spelling of 217263480 in words is "two hundred seventeen million, two hundred sixty-three thousand, four hundred eighty".