510464 has 20 divisors (see below), whose sum is σ = 1020954. Its totient is φ = 254976.

The previous prime is 510463. The next prime is 510481. The reversal of 510464 is 464015.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 350464 + 160000 = 592^2 + 400^2 .

It is not an unprimeable number, because it can be changed into a prime (510463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14 + ... + 1010.

2⁵¹⁰⁴⁶⁴ 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 510464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510477).

510464 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

510464 is an frugal number, since it uses more digits than its factorization.

510464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 510464 is about 714.4676339765. The cubic root of 510464 is about 79.9199198664.

Adding to 510464 its reverse (464015), we get a palindrome (974479).

The spelling of 510464 in words is "five hundred ten thousand, four hundred sixty-four".