455264 has 24 divisors (see below), whose sum is σ = 920808. Its totient is φ = 221440.

The previous prime is 455263. The next prime is 455269. The reversal of 455264 is 462554.

It is a d-powerful number, because it can be written as 4⁶ + 5⁷ + 2¹⁵ + 5⁷ + 6 + 4⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1139 + ... + 1485.

It is an arithmetic number, because the mean of its divisors is an integer number (38367).

2⁴⁵⁵²⁶⁴ 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 455264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460404).

455264 is an abundant number, since it is smaller than the sum of its proper divisors (465544).

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

455264 is a wasteful number, since it uses less digits than its factorization.

455264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its digits is 4800, while the sum is 26.

The square root of 455264 is about 674.7325396037. The cubic root of 455264 is about 76.9285895537.

Adding to 455264 its product of digits (4800), we get a palindrome (460064).

The spelling of 455264 in words is "four hundred fifty-five thousand, two hundred sixty-four".