464752 has 20 divisors (see below), whose sum is σ = 930496. Its totient is φ = 224640.

The previous prime is 464749. The next prime is 464753. The reversal of 464752 is 257464.

464752 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 464752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28 + ... + 964.

464752 is a Friedman number, since it can be written as 6^5+(7*4-2)^4, using all its digits and the basic arithmetic operations.

2⁴⁶⁴⁷⁵² 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 464752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465248).

464752 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.

464752 is a wasteful number, since it uses less digits than its factorization.

464752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 464752 is about 681.7272181745. The cubic root of 464752 is about 77.4593335036.

The spelling of 464752 in words is "four hundred sixty-four thousand, seven hundred fifty-two".