514858680 has 576 divisors, whose sum is σ = 2151152640. Its totient is φ = 110170368.

The previous prime is 514858679. The next prime is 514858691. The reversal of 514858680 is 86858415.

514858680 is a `hidden beast` number, since 514 + 8 + 58 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10954417 + ... + 10954463.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^514858680 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 514858680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

514858680 is an abundant number, since it is smaller than the sum of its proper divisors (1636293960).

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

514858680 is a wasteful number, since it uses less digits than its factorization.

514858680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 514858680 is about 22690.4975705691. The cubic root of 514858680 is about 801.4861333833.

The spelling of 514858680 in words is "five hundred fourteen million, eight hundred fifty-eight thousand, six hundred eighty".