514313856 has 384 divisors, whose sum is σ = 1833062400. Its totient is φ = 135235584.

The previous prime is 514313843. The next prime is 514313873. The reversal of 514313856 is 658313415.

514313856 is a `hidden beast` number, since 514 + 3 + 138 + 5 + 6 = 666.

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 514313856.

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, 8717155 + ... + 8717213.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2^514313856 is an apocalyptic number.

514313856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514313856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916531200).

514313856 is an abundant number, since it is smaller than the sum of its proper divisors (1318748544).

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

514313856 is a wasteful number, since it uses less digits than its factorization.

514313856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 514313856 is about 22678.4888385448. The cubic root of 514313856 is about 801.2033224447.

The spelling of 514313856 in words is "five hundred fourteen million, three hundred thirteen thousand, eight hundred fifty-six".