514181480 has 64 divisors (see below), whose sum is σ = 1182762000. Its totient is φ = 201129984.

The previous prime is 514181467. The next prime is 514181483. The reversal of 514181480 is 84181415.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 67535524 + 446645956 = 8218^2 + 21134^2 .

It is not an unprimeable number, because it can be changed into a prime (514181483) 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, 344576 + ... + 346064.

Almost surely, 2^514181480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514181480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591381000).

514181480 is an abundant number, since it is smaller than the sum of its proper divisors (668580520).

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

514181480 is a wasteful number, since it uses less digits than its factorization.

514181480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 514181480 is about 22675.5701141118. The cubic root of 514181480 is about 801.1345776562.

The spelling of 514181480 in words is "five hundred fourteen million, one hundred eighty-one thousand, four hundred eighty".