434874400 has 36 divisors (see below), whose sum is σ = 1061639082. Its totient is φ = 173949440.

The previous prime is 434874397. The next prime is 434874439. The reversal of 434874400 is 4478434.

It can be written as a sum of positive squares in 3 ways, for example, as 316412944 + 118461456 = 17788^2 + 10884^2 .

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 5 ways as a sum of consecutive naturals, for example, 270997 + ... + 272596.

Almost surely, 2^434874400 is an apocalyptic number.

434874400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434874400 is an abundant number, since it is smaller than the sum of its proper divisors (626764682).

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

434874400 is a wasteful number, since it uses less digits than its factorization.

434874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543613 (or 543600 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The square root of 434874400 is about 20853.6423677016. The cubic root of 434874400 is about 757.6255532973.

The spelling of 434874400 in words is "four hundred thirty-four million, eight hundred seventy-four thousand, four hundred".