514638464 has 32 divisors (see below), whose sum is σ = 1031826900. Its totient is φ = 255670272.

The previous prime is 514638431. The next prime is 514638473. The reversal of 514638464 is 464836415.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 478734400 + 35904064 = 21880^2 + 5992^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7292 + ... + 32900.

Almost surely, 2^514638464 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 514638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515913450).

514638464 is an abundant number, since it is smaller than the sum of its proper divisors (517188436).

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

514638464 is a wasteful number, since it uses less digits than its factorization.

514638464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25780 (or 25768 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

The square root of 514638464 is about 22685.6444475355. The cubic root of 514638464 is about 801.3718462028.

The spelling of 514638464 in words is "five hundred fourteen million, six hundred thirty-eight thousand, four hundred sixty-four".