514580480 has 112 divisors (see below), whose sum is σ = 1309329360. Its totient is φ = 193462272.

The previous prime is 514580461. The next prime is 514580489. The reversal of 514580480 is 84085415.

It is a self number, because there is not a number n which added to its sum of digits gives 514580480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514580489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 695951 + ... + 696689.

Almost surely, 2^514580480 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 514580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654664680).

514580480 is an abundant number, since it is smaller than the sum of its proper divisors (794748880).

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

514580480 is an equidigital number, since it uses as much as digits as its factorization.

514580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 514580480 is about 22684.3664227150. The cubic root of 514580480 is about 801.3417483810.

The spelling of 514580480 in words is "five hundred fourteen million, five hundred eighty thousand, four hundred eighty".