514116720 has 400 divisors, whose sum is σ = 2041744320. Its totient is φ = 118775808.

The previous prime is 514116719. The next prime is 514116817. The reversal of 514116720 is 27611415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1431901 + ... + 1432259.

Almost surely, 2^514116720 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 514116720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020872160).

514116720 is an abundant number, since it is smaller than the sum of its proper divisors (1527627600).

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

514116720 is a wasteful number, since it uses less digits than its factorization.

514116720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 514116720 is about 22674.1421006397. The cubic root of 514116720 is about 801.1009425452.

The spelling of 514116720 in words is "five hundred fourteen million, one hundred sixteen thousand, seven hundred twenty".