426624 has 64 divisors (see below), whose sum is σ = 1248480. Its totient is φ = 128000.

The previous prime is 426611. The next prime is 426631.

426624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 426594 and 426603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4174 + ... + 4274.

2⁴²⁶⁶²⁴ is an apocalyptic number.

426624 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 426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624240).

426624 is an abundant number, since it is smaller than the sum of its proper divisors (821856).

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

426624 is a wasteful number, since it uses less digits than its factorization.

426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 426624 is about 653.1646040624. The cubic root of 426624 is about 75.2803727974.

It can be divided in two parts, 42 and 6624, that added together give a palindrome (6666).

The spelling of 426624 in words is "four hundred twenty-six thousand, six hundred twenty-four".