462528 has 84 divisors (see below), whose sum is σ = 1466088. Its totient is φ = 138240.

The previous prime is 462499. The next prime is 462529. The reversal of 462528 is 825264.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 462528.

It is not an unprimeable number, because it can be changed into a prime (462529) by changing a digit.

462528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6300 + ... + 6372.

462528 is a Friedman number, since it can be written as 64*(85^2+2), using all its digits and the basic arithmetic operations.

2⁴⁶²⁵²⁸ is an apocalyptic number.

462528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733044).

462528 is an abundant number, since it is smaller than the sum of its proper divisors (1003560).

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

462528 is a wasteful number, since it uses less digits than its factorization.

462528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 462528 is about 680.0941111346. The cubic root of 462528 is about 77.3355792715.

It can be divided in two parts, 462 and 528, that added together give a triangular number (990 = T₄₄).

The spelling of 462528 in words is "four hundred sixty-two thousand, five hundred twenty-eight".