434320 has 40 divisors (see below), whose sum is σ = 1037880. Its totient is φ = 168960.

The previous prime is 434311. The next prime is 434323. The reversal of 434320 is 23434.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 425104 = 96^2 + 652^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 434294 and 434303.

It is not an unprimeable number, because it can be changed into a prime (434323) by changing a digit.

434320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4836 + ... + 4924.

It is an arithmetic number, because the mean of its divisors is an integer number (25947).

2⁴³⁴³²⁰ is an apocalyptic number.

434320 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 434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518940).

434320 is an abundant number, since it is smaller than the sum of its proper divisors (603560).

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

434320 is a wasteful number, since it uses less digits than its factorization.

434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 434320 is about 659.0295896240. The cubic root of 434320 is about 75.7303463192.

Adding to 434320 its reverse (23434), we get a palindrome (457754).

The spelling of 434320 in words is "four hundred thirty-four thousand, three hundred twenty".