455988 has 48 divisors (see below), whose sum is σ = 1191680. Its totient is φ = 134784.

The previous prime is 455977. The next prime is 455989. The reversal of 455988 is 889554.

It is a super-2 number, since 2×455988² = 415850112288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455989) by changing a digit.

455988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5733 + ... + 5811.

2⁴⁵⁵⁹⁸⁸ 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 455988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595840).

455988 is an abundant number, since it is smaller than the sum of its proper divisors (735692).

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

455988 is a wasteful number, since it uses less digits than its factorization.

455988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 455988 is about 675.2688353537. The cubic root of 455988 is about 76.9693474440.

The spelling of 455988 in words is "four hundred fifty-five thousand, nine hundred eighty-eight".