434616 has 64 divisors (see below), whose sum is σ = 1344000. Its totient is φ = 114048.

The previous prime is 434611. The next prime is 434647. The reversal of 434616 is 616434.

434616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2085 + ... + 2283.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2⁴³⁴⁶¹⁶ 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 434616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672000).

434616 is an abundant number, since it is smaller than the sum of its proper divisors (909384).

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

434616 is a wasteful number, since it uses less digits than its factorization.

434616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 434616 is about 659.2541239917. The cubic root of 434616 is about 75.7475464574.

The spelling of 434616 in words is "four hundred thirty-four thousand, six hundred sixteen".