424330400 has 72 divisors (see below), whose sum is σ = 1115608284. Its totient is φ = 156672000.

The previous prime is 424330397. The next prime is 424330451. The reversal of 424330400 is 4033424.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 193655056 + 230675344 = 13916^2 + 15188^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 10001 + ... + 30800.

Almost surely, 2^424330400 is an apocalyptic number.

424330400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424330400 is an abundant number, since it is smaller than the sum of its proper divisors (691277884).

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

424330400 is a wasteful number, since it uses less digits than its factorization.

424330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40834 (or 40821 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 424330400 is about 20599.2815408693. The cubic root of 424330400 is about 751.4522380431.

Adding to 424330400 its reverse (4033424), we get a palindrome (428363824).

It can be divided in two parts, 4243 and 30400, that added together give a palindrome (34643).

The spelling of 424330400 in words is "four hundred twenty-four million, three hundred thirty thousand, four hundred".