514944 has 64 divisors (see below), whose sum is σ = 1530000. Its totient is φ = 170496.

The previous prime is 514939. The next prime is 514949. The reversal of 514944 is 449415.

It is an interprime number because it is at equal distance from previous prime (514939) and next prime (514949).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

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 514944.

It is not an unprimeable number, because it can be changed into a prime (514949) by changing a digit.

514944 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, 3382 + ... + 3530.

2⁵¹⁴⁹⁴⁴ is an apocalyptic number.

514944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765000).

514944 is an abundant number, since it is smaller than the sum of its proper divisors (1015056).

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

514944 is a wasteful number, since it uses less digits than its factorization.

514944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 514944 is about 717.5959866109. The cubic root of 514944 is about 80.1530403797.

The spelling of 514944 in words is "five hundred fourteen thousand, nine hundred forty-four".