456984 has 48 divisors (see below), whose sum is σ = 1352520. Its totient is φ = 138240.

The previous prime is 456979. The next prime is 456991. The reversal of 456984 is 489654.

456984 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 456984.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504 + ... + 1080.

456984 is a Friedman number, since it can be written as 8+((9/6+5)*4)^4, using all its digits and the basic arithmetic operations.

2⁴⁵⁶⁹⁸⁴ is an apocalyptic number.

456984 is a gapful number since it is divisible by the number (44) 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 456984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676260).

456984 is an abundant number, since it is smaller than the sum of its proper divisors (895536).

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

456984 is a wasteful number, since it uses less digits than its factorization.

456984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 593 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 456984 is about 676.0059171339. The cubic root of 456984 is about 77.0253472519.

The spelling of 456984 in words is "four hundred fifty-six thousand, nine hundred eighty-four".