455760 has 80 divisors (see below), whose sum is σ = 1577280. Its totient is φ = 120960.

The previous prime is 455737. The next prime is 455761. The reversal of 455760 is 67554.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 455760.

It is not an unprimeable number, because it can be changed into a prime (455761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2055 + ... + 2265.

It is an arithmetic number, because the mean of its divisors is an integer number (19716).

2⁴⁵⁵⁷⁶⁰ is an apocalyptic number.

455760 is a gapful number since it is divisible by the number (40) 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 455760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788640).

455760 is an abundant number, since it is smaller than the sum of its proper divisors (1121520).

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

455760 is a wasteful number, since it uses less digits than its factorization.

455760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 455760 is about 675.0999925937. The cubic root of 455760 is about 76.9565167431.

The spelling of 455760 in words is "four hundred fifty-five thousand, seven hundred sixty".