514359072 has 168 divisors, whose sum is σ = 1608821676. Its totient is φ = 161243136.

The previous prime is 514359071. The next prime is 514359101. The reversal of 514359072 is 270953415.

It can be written as a sum of positive squares in 2 ways, for example, as 390615696 + 123743376 = 19764^2 + 11124^2 .

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

It is not an unprimeable number, because it can be changed into a prime (514359071) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 395928 + ... + 397224.

Almost surely, 2^514359072 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 514359072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804410838).

514359072 is an abundant number, since it is smaller than the sum of its proper divisors (1094462604).

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

514359072 is a wasteful number, since it uses less digits than its factorization.

514359072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 514359072 is about 22679.4857084547. The cubic root of 514359072 is about 801.2268010706.

The spelling of 514359072 in words is "five hundred fourteen million, three hundred fifty-nine thousand, seventy-two".