453952 has 28 divisors (see below), whose sum is σ = 928116. Its totient is φ = 220160.

The previous prime is 453949. The next prime is 453961. The reversal of 453952 is 259354.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 246016 = 456^2 + 496^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

Its product of digits (5400) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 453952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2538 + ... + 2710.

It is an arithmetic number, because the mean of its divisors is an integer number (33147).

2⁴⁵³⁹⁵² 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 453952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464058).

453952 is an abundant number, since it is smaller than the sum of its proper divisors (474164).

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

453952 is a wasteful number, since it uses less digits than its factorization.

453952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its digits is 5400, while the sum is 28.

The square root of 453952 is about 673.7596010448. The cubic root of 453952 is about 76.8546197104.

It can be divided in two parts, 4 and 53952, that added together give a triangular number (53956 = T₃₂₈).

The spelling of 453952 in words is "four hundred fifty-three thousand, nine hundred fifty-two".