455280 has 80 divisors (see below), whose sum is σ = 1618944. Its totient is φ = 103680.

The previous prime is 455269. The next prime is 455291. The reversal of 455280 is 82554.

455280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (455269) and next prime (455291).

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 455280.

It is a congruent number.

It is an unprimeable number.

455280 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 15 ways as a sum of consecutive naturals, for example, 1545 + ... + 1815.

2⁴⁵⁵²⁸⁰ is an apocalyptic number.

455280 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 455280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809472).

455280 is an abundant number, since it is smaller than the sum of its proper divisors (1163664).

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

455280 is a wasteful number, since it uses less digits than its factorization.

455280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 455280 is about 674.7443960493. The cubic root of 455280 is about 76.9294907473.

The spelling of 455280 in words is "four hundred fifty-five thousand, two hundred eighty".