217620480 has 448 divisors, whose sum is σ = 905914368. Its totient is φ = 43253760.

The previous prime is 217620443. The next prime is 217620493. The reversal of 217620480 is 84026712.

It is a tau number, because it is divible by the number of its divisors (448).

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

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, 9461749 + ... + 9461771.

Almost surely, 2^217620480 is an apocalyptic number.

217620480 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 217620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452957184).

217620480 is an abundant number, since it is smaller than the sum of its proper divisors (688293888).

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

217620480 is a wasteful number, since it uses less digits than its factorization.

217620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 217620480 is about 14751.9652928008. The cubic root of 217620480 is about 601.4967077830.

The spelling of 217620480 in words is "two hundred seventeen million, six hundred twenty thousand, four hundred eighty".