481752 has 24 divisors (see below), whose sum is σ = 1304940. Its totient is φ = 160560.

The previous prime is 481751. The next prime is 481753. The reversal of 481752 is 257184.

481752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (481751) and next prime (481753).

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 481752.

It is not an unprimeable number, because it can be changed into a prime (481751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3274 + ... + 3417.

2⁴⁸¹⁷⁵² is an apocalyptic number.

It is an amenable number.

481752 is an abundant number, since it is smaller than the sum of its proper divisors (823188).

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

481752 is a wasteful number, since it uses less digits than its factorization.

481752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6703 (or 6696 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 481752 is about 694.0835684556. The cubic root of 481752 is about 78.3924989353.

The spelling of 481752 in words is "four hundred eighty-one thousand, seven hundred fifty-two".