424430400 has 84 divisors (see below), whose sum is σ = 1392501152. Its totient is φ = 113180160.

The previous prime is 424430389. The next prime is 424430411. The reversal of 424430400 is 4034424.

It is an interprime number because it is at equal distance from previous prime (424430389) and next prime (424430411).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39412 + ... + 49011.

Almost surely, 2^424430400 is an apocalyptic number.

424430400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424430400 is an abundant number, since it is smaller than the sum of its proper divisors (968070752).

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

424430400 is a wasteful number, since it uses less digits than its factorization.

424430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88448 (or 88433 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 424430400 is about 20601.7086670014. The cubic root of 424430400 is about 751.5112638412.

Adding to 424430400 its reverse (4034424), we get a palindrome (428464824).

The spelling of 424430400 in words is "four hundred twenty-four million, four hundred thirty thousand, four hundred".