424424400 has 60 divisors (see below), whose sum is σ = 1359576672. Its totient is φ = 113179520.

The previous prime is 424424389. The next prime is 424424443. The reversal of 424424400 is 4424424.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 175644 + ... + 178043.

Almost surely, 2^424424400 is an apocalyptic number.

424424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424424400 is an abundant number, since it is smaller than the sum of its proper divisors (935152272).

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

424424400 is a wasteful number, since it uses less digits than its factorization.

424424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353708 (or 353697 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 424424400 is about 20601.5630474971. The cubic root of 424424400 is about 751.5077225548.

Adding to 424424400 its sum of digits (24), we get a palindrome (424424424).

Adding to 424424400 its reverse (4424424), we get a palindrome (428848824).

The spelling of 424424400 in words is "four hundred twenty-four million, four hundred twenty-four thousand, four hundred".