452928 has 56 divisors (see below), whose sum is σ = 1373632. Its totient is φ = 129024.

The previous prime is 452923. The next prime is 452953. The reversal of 452928 is 829254.

It is a Cunningham number, because it is equal to 673²-1.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 452895 and 452904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452923) by changing a digit.

452928 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 7 ways as a sum of consecutive naturals, for example, 1176 + ... + 1512.

2⁴⁵²⁹²⁸ is an apocalyptic number.

452928 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 452928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686816).

452928 is an abundant number, since it is smaller than the sum of its proper divisors (920704).

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

452928 is a wasteful number, since it uses less digits than its factorization.

452928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 452928 is about 672.9992570575. Note that the first 3 decimals coincide. The cubic root of 452928 is about 76.7967880601.

The spelling of 452928 in words is "four hundred fifty-two thousand, nine hundred twenty-eight".