434984 has 16 divisors (see below), whose sum is σ = 889920. Its totient is φ = 197680.

The previous prime is 434981. The next prime is 434989. The reversal of 434984 is 489434.

434984 is nontrivially palindromic in base 3.

434984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×434984² = 378422160512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434984.

It is not an unprimeable number, because it can be changed into a prime (434981) 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, 2384 + ... + 2559.

It is an arithmetic number, because the mean of its divisors is an integer number (55620).

2⁴³⁴⁹⁸⁴ is an apocalyptic number.

434984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434984 is an abundant number, since it is smaller than the sum of its proper divisors (454936).

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

434984 is a wasteful number, since it uses less digits than its factorization.

434984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 4956 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 434984 is about 659.5331682334. The cubic root of 434984 is about 75.7689195264.

The spelling of 434984 in words is "four hundred thirty-four thousand, nine hundred eighty-four".