455780 has 24 divisors (see below), whose sum is σ = 1031352. Its totient is φ = 168192.

The previous prime is 455761. The next prime is 455783. The reversal of 455780 is 87554.

It can be written as a sum of positive squares in 4 ways, for example, as 14884 + 440896 = 122^2 + 664^2 .

It is a super-3 number, since 3×455780³ = 284044933321656000, which contains 333 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 617 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (42973).

2⁴⁵⁵⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

455780 is an abundant number, since it is smaller than the sum of its proper divisors (575572).

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

455780 is a wasteful number, since it uses less digits than its factorization.

455780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 455780 is about 675.1148050517. The cubic root of 455780 is about 76.9576424143.

It can be divided in two parts, 45 and 5780, that multiplied together give a square (260100 = 510²).

The spelling of 455780 in words is "four hundred fifty-five thousand, seven hundred eighty".