434112000 has 640 divisors, whose sum is σ = 1838453760. Its totient is φ = 88473600.

The previous prime is 434111999. The next prime is 434112001. The reversal of 434112000 is 211434.

It is an interprime number because it is at equal distance from previous prime (434111999) and next prime (434112001).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434112001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22847991 + ... + 22848009.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2^434112000 is an apocalyptic number.

434112000 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 434112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919226880).

434112000 is an abundant number, since it is smaller than the sum of its proper divisors (1404341760).

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

434112000 is a wasteful number, since it uses less digits than its factorization.

434112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 434112000 is about 20835.3545686173. The cubic root of 434112000 is about 757.1825505983.

Adding to 434112000 its reverse (211434), we get a palindrome (434323434).

The spelling of 434112000 in words is "four hundred thirty-four million, one hundred twelve thousand".