434134400 has 96 divisors (see below), whose sum is σ = 1225717680. Its totient is φ = 148838400.

The previous prime is 434134397. The next prime is 434134409. The reversal of 434134400 is 4431434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434134409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12710 + ... + 32090.

Almost surely, 2^434134400 is an apocalyptic number.

434134400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612858840).

434134400 is an abundant number, since it is smaller than the sum of its proper divisors (791583280).

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

434134400 is a wasteful number, since it uses less digits than its factorization.

434134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19412 (or 19395 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 434134400 is about 20835.8921095306. The cubic root of 434134400 is about 757.1955738100.

Adding to 434134400 its reverse (4431434), we get a palindrome (438565834).

The spelling of 434134400 in words is "four hundred thirty-four million, one hundred thirty-four thousand, four hundred".