514059084 has 144 divisors (see below), whose sum is σ = 1651104000. Its totient is φ = 130965120.

The previous prime is 514059071. The next prime is 514059157. The reversal of 514059084 is 480950415.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145167 + ... + 148665.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2^514059084 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 514059084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552000).

514059084 is an abundant number, since it is smaller than the sum of its proper divisors (1137044916).

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

514059084 is a wasteful number, since it uses less digits than its factorization.

514059084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 514059084 is about 22672.8711018256. The cubic root of 514059084 is about 801.0710051285.

The spelling of 514059084 in words is "five hundred fourteen million, fifty-nine thousand, eighty-four".