434448 has 60 divisors (see below), whose sum is σ = 1392768. Its totient is φ = 123840.

The previous prime is 434437. The next prime is 434459. The reversal of 434448 is 844434.

434448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (434437) and next prime (434459).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

434448 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 11 ways as a sum of consecutive naturals, for example, 793 + ... + 1223.

2⁴³⁴⁴⁴⁸ is an apocalyptic number.

434448 is a gapful number since it is divisible by the number (48) 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 434448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384).

434448 is an abundant number, since it is smaller than the sum of its proper divisors (958320).

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

434448 is a wasteful number, since it uses less digits than its factorization.

434448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 443 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 434448 is about 659.1266949533. The cubic root of 434448 is about 75.7377851755.

The spelling of 434448 in words is "four hundred thirty-four thousand, four hundred forty-eight".