424864 has 48 divisors (see below), whose sum is σ = 979776. Its totient is φ = 179200.

The previous prime is 424861. The next prime is 424867. The reversal of 424864 is 468424.

424864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (424861) and next prime (424867).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (424861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5949 + ... + 6019.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2⁴²⁴⁸⁶⁴ is an apocalyptic number.

424864 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 424864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489888).

424864 is an abundant number, since it is smaller than the sum of its proper divisors (554912).

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

424864 is a wasteful number, since it uses less digits than its factorization.

424864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 424864 is about 651.8159249359. The cubic root of 424864 is about 75.1767092501.

The spelling of 424864 in words is "four hundred twenty-four thousand, eight hundred sixty-four".