425984 has 32 divisors (see below), whose sum is σ = 917490. Its totient is φ = 196608.

The previous prime is 425977. The next prime is 425987. The reversal of 425984 is 489524.

425984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 409600 + 16384 = 640^2 + 128^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (11520) is a multiple of the sum of its prime divisors (15).

It is a self number, because there is not a number n which added to its sum of digits gives 425984.

It is not an unprimeable number, because it can be changed into a prime (425987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32762 + ... + 32774.

425984 is a Friedman number, since it can be written as 4^8*(5+9/(4+2)), using all its digits and the basic arithmetic operations.

2⁴²⁵⁹⁸⁴ 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 425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458745).

425984 is an abundant number, since it is smaller than the sum of its proper divisors (491506).

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

425984 is an frugal number, since it uses more digits than its factorization.

425984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 15 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 425984 is about 652.6744977399. The cubic root of 425984 is about 75.2427100071.

The spelling of 425984 in words is "four hundred twenty-five thousand, nine hundred eighty-four".