514464 has 48 divisors (see below), whose sum is σ = 1415232. Its totient is φ = 163328.

The previous prime is 514453. The next prime is 514499. The reversal of 514464 is 464415.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 514464.

It is an unprimeable number.

514464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2092 + ... + 2324.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2⁵¹⁴⁴⁶⁴ 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 514464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616).

514464 is an abundant number, since it is smaller than the sum of its proper divisors (900768).

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

514464 is a wasteful number, since it uses less digits than its factorization.

514464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 514464 is about 717.2614586049. The cubic root of 514464 is about 80.1281280139.

Adding to 514464 its reverse (464415), we get a palindrome (978879).

The spelling of 514464 in words is "five hundred fourteen thousand, four hundred sixty-four".