453984 has 24 divisors (see below), whose sum is σ = 1191960. Its totient is φ = 151296.

The previous prime is 453983. The next prime is 453991. The reversal of 453984 is 489354.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×453984² = 412202944512, which contains 22 as substring.

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 453984.

It is not an unprimeable number, because it can be changed into a prime (453983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2269 + ... + 2460.

It is an arithmetic number, because the mean of its divisors is an integer number (49665).

2⁴⁵³⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

453984 is an abundant number, since it is smaller than the sum of its proper divisors (737976).

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

453984 is a wasteful number, since it uses less digits than its factorization.

453984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4742 (or 4734 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 453984 is about 673.7833479688. The cubic root of 453984 is about 76.8564255475.

The spelling of 453984 in words is "four hundred fifty-three thousand, nine hundred eighty-four".