514882368 has 672 divisors, whose sum is σ = 2130186240. Its totient is φ = 114462720.

The previous prime is 514882351. The next prime is 514882429. The reversal of 514882368 is 863288415.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10954921 + ... + 10954967.

It is an arithmetic number, because the mean of its divisors is an integer number (3169920).

Almost surely, 2^514882368 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 514882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065093120).

514882368 is an abundant number, since it is smaller than the sum of its proper divisors (1615303872).

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

514882368 is a wasteful number, since it uses less digits than its factorization.

514882368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 514882368 is about 22691.0195451857. The cubic root of 514882368 is about 801.4984249843.

It can be divided in two parts, 5148 and 82368, that multiplied together give a square (424030464 = 20592²).

The spelling of 514882368 in words is "five hundred fourteen million, eight hundred eighty-two thousand, three hundred sixty-eight".