424484424 has 384 divisors, whose sum is σ = 1553610240. Its totient is φ = 101523456.

The previous prime is 424484413. The next prime is 424484443.

424484424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×424484424² = 360374052437223552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4121157 + ... + 4121259.

It is an arithmetic number, because the mean of its divisors is an integer number (4045860).

Almost surely, 2^424484424 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 424484424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776805120).

424484424 is an abundant number, since it is smaller than the sum of its proper divisors (1129125816).

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

424484424 is a wasteful number, since it uses less digits than its factorization.

424484424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The square root of 424484424 is about 20603.0197786635. The cubic root of 424484424 is about 751.5431480811.

The spelling of 424484424 in words is "four hundred twenty-four million, four hundred eighty-four thousand, four hundred twenty-four".