434400000 has 216 divisors, whose sum is σ = 1453063248. Its totient is φ = 115200000.

The previous prime is 434399969. The next prime is 434400007. The reversal of 434400000 is 4434.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (434400007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2399910 + ... + 2400090.

Almost surely, 2^434400000 is an apocalyptic number.

434400000 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 434400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726531624).

434400000 is an abundant number, since it is smaller than the sum of its proper divisors (1018663248).

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

434400000 is an frugal number, since it uses more digits than its factorization.

434400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 434400000 is about 20842.2647521808. The cubic root of 434400000 is about 757.3499577563.

Adding to 434400000 its reverse (4434), we get a palindrome (434404434).

The spelling of 434400000 in words is "four hundred thirty-four million, four hundred thousand".