214740480 has 80 divisors (see below), whose sum is σ = 686523024. Its totient is φ = 57262080.

The previous prime is 214740469. The next prime is 214740497. The reversal of 214740480 is 84047412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×214740480³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6301 + ... + 21660.

Almost surely, 2^214740480 is an apocalyptic number.

214740480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214740480 is an abundant number, since it is smaller than the sum of its proper divisors (471782544).

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

214740480 is an equidigital number, since it uses as much as digits as its factorization.

214740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27987 (or 27971 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 214740480 is about 14654.0260679446. The cubic root of 214740480 is about 598.8315036154.

Adding to 214740480 its reverse (84047412), we get a palindrome (298787892).

The spelling of 214740480 in words is "two hundred fourteen million, seven hundred forty thousand, four hundred eighty".