514344960 has 144 divisors (see below), whose sum is σ = 1782946620. Its totient is φ = 137134080.

The previous prime is 514344893. The next prime is 514344983. The reversal of 514344960 is 69443415.

It can be written as a sum of positive squares in 2 ways, for example, as 500327424 + 14017536 = 22368^2 + 3744^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89370 + ... + 94950.

Almost surely, 2^514344960 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 514344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891473310).

514344960 is an abundant number, since it is smaller than the sum of its proper divisors (1268601660).

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

514344960 is a wasteful number, since it uses less digits than its factorization.

514344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 514344960 is about 22679.1745881547. The cubic root of 514344960 is about 801.2194734943.

The spelling of 514344960 in words is "five hundred fourteen million, three hundred forty-four thousand, nine hundred sixty".