217152480 has 48 divisors (see below), whose sum is σ = 684031824. Its totient is φ = 57907200.

The previous prime is 217152479. The next prime is 217152487. The reversal of 217152480 is 84251712.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217152487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225721 + ... + 226680.

It is an arithmetic number, because the mean of its divisors is an integer number (14250663).

Almost surely, 2^217152480 is an apocalyptic number.

217152480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217152480 is an abundant number, since it is smaller than the sum of its proper divisors (466879344).

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

217152480 is a wasteful number, since it uses less digits than its factorization.

217152480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452419 (or 452411 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 217152480 is about 14736.0944622380. The cubic root of 217152480 is about 601.0652188400.

The spelling of 217152480 in words is "two hundred seventeen million, one hundred fifty-two thousand, four hundred eighty".