424440400 has 30 divisors (see below), whose sum is σ = 1019719022. Its totient is φ = 169776000.

The previous prime is 424440397. The next prime is 424440403. The reversal of 424440400 is 4044424.

It is an interprime number because it is at equal distance from previous prime (424440397) and next prime (424440403).

It can be written as a sum of positive squares in 3 ways, for example, as 71301136 + 353139264 = 8444^2 + 18792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424440403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 530151 + ... + 530950.

Almost surely, 2^424440400 is an apocalyptic number.

424440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424440400 is an abundant number, since it is smaller than the sum of its proper divisors (595278622).

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

424440400 is a wasteful number, since it uses less digits than its factorization.

424440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061119 (or 1061108 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 424440400 is about 20601.9513638878. The cubic root of 424440400 is about 751.5171659110.

Adding to 424440400 its reverse (4044424), we get a palindrome (428484824).

It can be divided in two parts, 4244 and 40400, that added together give a palindrome (44644).

The spelling of 424440400 in words is "four hundred twenty-four million, four hundred forty thousand, four hundred".