514372320 has 288 divisors, whose sum is σ = 2188892160. Its totient is φ = 106859520.

The previous prime is 514372297. The next prime is 514372337. The reversal of 514372320 is 23273415.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108561 + ... + 113199.

It is an arithmetic number, because the mean of its divisors is an integer number (7600320).

Almost surely, 2^514372320 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 514372320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094446080).

514372320 is an abundant number, since it is smaller than the sum of its proper divisors (1674519840).

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

514372320 is a wasteful number, since it uses less digits than its factorization.

514372320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 514372320 is about 22679.7777766891. Note that the first 5 decimals coincide. The cubic root of 514372320 is about 801.2336798978.

The spelling of 514372320 in words is "five hundred fourteen million, three hundred seventy-two thousand, three hundred twenty".