514752 has 56 divisors (see below), whose sum is σ = 1560576. Its totient is φ = 146688.

The previous prime is 514751. The next prime is 514757. The reversal of 514752 is 257415.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 514752.

It is not an unprimeable number, because it can be changed into a prime (514751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1153 + ... + 1535.

2⁵¹⁴⁷⁵² 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 514752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780288).

514752 is an abundant number, since it is smaller than the sum of its proper divisors (1045824).

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

514752 is a wasteful number, since it uses less digits than its factorization.

514752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its digits is 1400, while the sum is 24.

The square root of 514752 is about 717.4621941259. The cubic root of 514752 is about 80.1430772919.

The spelling of 514752 in words is "five hundred fourteen thousand, seven hundred fifty-two".