424005504 has 128 divisors (see below), whose sum is σ = 1222882080. Its totient is φ = 129392640.

The previous prime is 424005503. The next prime is 424005511. The reversal of 424005504 is 405500424.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424005503) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 783474 + ... + 784014.

Almost surely, 2^424005504 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 424005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611441040).

424005504 is an abundant number, since it is smaller than the sum of its proper divisors (798876576).

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

424005504 is a wasteful number, since it uses less digits than its factorization.

424005504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 424005504 is about 20591.3939304749. The cubic root of 424005504 is about 751.2604015529.

Adding to 424005504 its reverse (405500424), we get a palindrome (829505928).

The spelling of 424005504 in words is "four hundred twenty-four million, five thousand, five hundred four".