514740096 has 384 divisors, whose sum is σ = 1767292800. Its totient is φ = 147806208.

The previous prime is 514740067. The next prime is 514740113. The reversal of 514740096 is 690047415.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 514740096.

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, 7682655 + ... + 7682721.

It is an arithmetic number, because the mean of its divisors is an integer number (4602325).

Almost surely, 2^514740096 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 514740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883646400).

514740096 is an abundant number, since it is smaller than the sum of its proper divisors (1252552704).

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

514740096 is a wasteful number, since it uses less digits than its factorization.

514740096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 514740096 is about 22687.8843438519. The cubic root of 514740096 is about 801.4245949889.

The spelling of 514740096 in words is "five hundred fourteen million, seven hundred forty thousand, ninety-six".