434230400 has 48 divisors (see below), whose sum is σ = 1072692690. Its totient is φ = 173690880.

The previous prime is 434230397. The next prime is 434230441. The reversal of 434230400 is 4032434.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 310041664 + 124188736 = 17608^2 + 11144^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64649 + ... + 71048.

Almost surely, 2^434230400 is an apocalyptic number.

434230400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434230400 is an abundant number, since it is smaller than the sum of its proper divisors (638462290).

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

434230400 is a wasteful number, since it uses less digits than its factorization.

434230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135721 (or 135704 counting only the distinct ones).

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

The square root of 434230400 is about 20838.1956992442. The cubic root of 434230400 is about 757.2513825010.

Adding to 434230400 its reverse (4032434), we get a palindrome (438262834).

The spelling of 434230400 in words is "four hundred thirty-four million, two hundred thirty thousand, four hundred".