463572 has 36 divisors (see below), whose sum is σ = 1193920. Its totient is φ = 151632.

The previous prime is 463549. The next prime is 463579. The reversal of 463572 is 275364.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

Its product of digits (5040) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463579) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2763 + ... + 2925.

2⁴⁶³⁵⁷² 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 463572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596960).

463572 is an abundant number, since it is smaller than the sum of its proper divisors (730348).

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

463572 is a wasteful number, since it uses less digits than its factorization.

463572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 247 counting only the distinct ones).

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

The square root of 463572 is about 680.8612193392. The cubic root of 463572 is about 77.3937218232.

It can be divided in two parts, 463 and 572, that added together give a triangular number (1035 = T₄₅).

The spelling of 463572 in words is "four hundred sixty-three thousand, five hundred seventy-two".