214105480 has 64 divisors (see below), whose sum is σ = 513216000. Its totient is φ = 80108544.

The previous prime is 214105469. The next prime is 214105487. The reversal of 214105480 is 84501412.

214105480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (214105487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120841 + ... + 122599.

It is an arithmetic number, because the mean of its divisors is an integer number (8019000).

Almost surely, 2^214105480 is an apocalyptic number.

214105480 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 214105480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256608000).

214105480 is an abundant number, since it is smaller than the sum of its proper divisors (299110520).

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

214105480 is a wasteful number, since it uses less digits than its factorization.

214105480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 214105480 is about 14632.3436263642. The cubic root of 214105480 is about 598.2406610679.

Adding to 214105480 its reverse (84501412), we get a palindrome (298606892).

The spelling of 214105480 in words is "two hundred fourteen million, one hundred five thousand, four hundred eighty".