455940 has 72 divisors (see below), whose sum is σ = 1474200. Its totient is φ = 113664.

The previous prime is 455933. The next prime is 455941. The reversal of 455940 is 49554.

455940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 427716 = 168^2 + 654^2 .

It is a super-3 number, since 3×455940³ = 284344177333752000, which contains 333 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 455940.

It is not an unprimeable number, because it can be changed into a prime (455941) by changing a digit.

455940 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 23 ways as a sum of consecutive naturals, for example, 2986 + ... + 3134.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2⁴⁵⁵⁹⁴⁰ 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 455940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737100).

455940 is an abundant number, since it is smaller than the sum of its proper divisors (1018260).

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

455940 is a wasteful number, since it uses less digits than its factorization.

455940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 455940 is about 675.2332930181. The cubic root of 455940 is about 76.9666465993.

The spelling of 455940 in words is "four hundred fifty-five thousand, nine hundred forty".