464928 has 48 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 148736.

The previous prime is 464927. The next prime is 464939. The reversal of 464928 is 829464.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2701 + ... + 2867.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁴⁶⁴⁹²⁸ is an apocalyptic number.

464928 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 464928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

464928 is an abundant number, since it is smaller than the sum of its proper divisors (805152).

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

464928 is a wasteful number, since it uses less digits than its factorization.

464928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 464928 is about 681.8562898441. The cubic root of 464928 is about 77.4691101315.

The spelling of 464928 in words is "four hundred sixty-four thousand, nine hundred twenty-eight".