455840 has 96 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 138240.

The previous prime is 455831. The next prime is 455849. The reversal of 455840 is 48554.

It is an interprime number because it is at equal distance from previous prime (455831) and next prime (455849).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (455849) 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, 12302 + ... + 12338.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2⁴⁵⁵⁸⁴⁰ is an apocalyptic number.

455840 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 455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

455840 is an abundant number, since it is smaller than the sum of its proper divisors (923104).

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

455840 is a wasteful number, since it uses less digits than its factorization.

455840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 455840 is about 675.1592404759. The cubic root of 455840 is about 76.9610192306.

It can be divided in two parts, 45 and 5840, that added together give a palindrome (5885).

The spelling of 455840 in words is "four hundred fifty-five thousand, eight hundred forty".