214716480 has 112 divisors (see below), whose sum is σ = 743736384. Its totient is φ = 52049920.

The previous prime is 214716457. The next prime is 214716521. The reversal of 214716480 is 84617412.

It is a super-2 number, since 2×214716480² = 92206333567180800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394 + ... + 20726.

Almost surely, 2^214716480 is an apocalyptic number.

214716480 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 214716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371868192).

214716480 is an abundant number, since it is smaller than the sum of its proper divisors (529019904).

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

214716480 is a wasteful number, since it uses less digits than its factorization.

214716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20364 (or 20354 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 214716480 is about 14653.2071574792. The cubic root of 214716480 is about 598.8091937532.

The spelling of 214716480 in words is "two hundred fourteen million, seven hundred sixteen thousand, four hundred eighty".