434720 has 96 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 138240.

The previous prime is 434719. The next prime is 434743. The reversal of 434720 is 27434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 434692 and 434701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22871 + ... + 22889.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2⁴³⁴⁷²⁰ is an apocalyptic number.

434720 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 434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

434720 is an abundant number, since it is smaller than the sum of its proper divisors (835360).

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

434720 is a wasteful number, since it uses less digits than its factorization.

434720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 434720 is about 659.3329962925. The cubic root of 434720 is about 75.7535878951.

434720 divided by its sum of digits (20) gives a triangular number (21736 = T₂₀₈).

The spelling of 434720 in words is "four hundred thirty-four thousand, seven hundred twenty".