514287120 has 80 divisors (see below), whose sum is σ = 1597254912. Its totient is φ = 136888320.

The previous prime is 514287091. The next prime is 514287133. The reversal of 514287120 is 21782415.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152169 + ... + 155511.

Almost surely, 2^514287120 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 514287120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798627456).

514287120 is an abundant number, since it is smaller than the sum of its proper divisors (1082967792).

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

514287120 is a wasteful number, since it uses less digits than its factorization.

514287120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 514287120 is about 22677.8993736192. The cubic root of 514287120 is about 801.1894390005.

The spelling of 514287120 in words is "five hundred fourteen million, two hundred eighty-seven thousand, one hundred twenty".