214486480 has 40 divisors (see below), whose sum is σ = 537043752. Its totient is φ = 79194624.

The previous prime is 214486469. The next prime is 214486499. The reversal of 214486480 is 84684412.

It can be written as a sum of positive squares in 4 ways, for example, as 48385936 + 166100544 = 6956^2 + 12888^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102079 + ... + 104158.

Almost surely, 2^214486480 is an apocalyptic number.

214486480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214486480 is an abundant number, since it is smaller than the sum of its proper divisors (322557272).

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

214486480 is a wasteful number, since it uses less digits than its factorization.

214486480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206263 (or 206257 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 214486480 is about 14645.3569434138. The cubic root of 214486480 is about 598.5953065528.

The spelling of 214486480 in words is "two hundred fourteen million, four hundred eighty-six thousand, four hundred eighty".