434120000 has 70 divisors (see below), whose sum is σ = 1076575698. Its totient is φ = 173632000.

The previous prime is 434119969. The next prime is 434120003. The reversal of 434120000 is 21434.

It can be written as a sum of positive squares in 5 ways, for example, as 162001984 + 272118016 = 12728^2 + 16496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 34574 + ... + 45426.

Almost surely, 2^434120000 is an apocalyptic number.

434120000 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 434120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538287849).

434120000 is an abundant number, since it is smaller than the sum of its proper divisors (642455698).

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

434120000 is an equidigital number, since it uses as much as digits as its factorization.

434120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10885 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 434120000 is about 20835.5465491069. The cubic root of 434120000 is about 757.1872017968.

Adding to 434120000 its reverse (21434), we get a palindrome (434141434).

The spelling of 434120000 in words is "four hundred thirty-four million, one hundred twenty thousand".