434520400 has 30 divisors (see below), whose sum is σ = 1043936222. Its totient is φ = 173808000.

The previous prime is 434520377. The next prime is 434520409. The reversal of 434520400 is 4025434.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1547536 + 432972864 = 1244^2 + 20808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434520409) 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, 542751 + ... + 543550.

Almost surely, 2^434520400 is an apocalyptic number.

434520400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434520400 is an abundant number, since it is smaller than the sum of its proper divisors (609415822).

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

434520400 is a wasteful number, since it uses less digits than its factorization.

434520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086319 (or 1086308 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 434520400 is about 20845.1529138071. The cubic root of 434520400 is about 757.4199213166.

Adding to 434520400 its reverse (4025434), we get a palindrome (438545834).

The spelling of 434520400 in words is "four hundred thirty-four million, five hundred twenty thousand, four hundred".