463752 has 64 divisors (see below), whose sum is σ = 1368000. Its totient is φ = 145152.

The previous prime is 463747. The next prime is 463753. The reversal of 463752 is 257364.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (463753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4048 + ... + 4160.

It is an arithmetic number, because the mean of its divisors is an integer number (21375).

2⁴⁶³⁷⁵² 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 463752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684000).

463752 is an abundant number, since it is smaller than the sum of its proper divisors (904248).

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

463752 is a wasteful number, since it uses less digits than its factorization.

463752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 463752 is about 680.9933920384. The cubic root of 463752 is about 77.4037375757.

The spelling of 463752 in words is "four hundred sixty-three thousand, seven hundred fifty-two".