455936 has 36 divisors (see below), whose sum is σ = 987252. Its totient is φ = 208896.

The previous prime is 455933. The next prime is 455941. The reversal of 455936 is 639554.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 160000 + 295936 = 400^2 + 544^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455933) 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, 3260 + ... + 3396.

2⁴⁵⁵⁹³⁶ 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 455936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493626).

455936 is an abundant number, since it is smaller than the sum of its proper divisors (531316).

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

455936 is a wasteful number, since it uses less digits than its factorization.

455936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its digits is 16200, while the sum is 32.

The square root of 455936 is about 675.2303310723. The cubic root of 455936 is about 76.9664215203.

The spelling of 455936 in words is "four hundred fifty-five thousand, nine hundred thirty-six".