434368 has 28 divisors (see below), whose sum is σ = 941832. Its totient is φ = 197120.

The previous prime is 434363. The next prime is 434377. The reversal of 434368 is 863434.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (434363) by changing a digit.

434368 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 3 ways as a sum of consecutive naturals, for example, 396 + ... + 1012.

2⁴³⁴³⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470916).

434368 is an abundant number, since it is smaller than the sum of its proper divisors (507464).

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

434368 is a wasteful number, since it uses less digits than its factorization.

434368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 630 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 434368 is about 659.0660057991. The cubic root of 434368 is about 75.7331360616.

The spelling of 434368 in words is "four hundred thirty-four thousand, three hundred sixty-eight".