434124 has 36 divisors (see below), whose sum is σ = 1135680. Its totient is φ = 139680.

The previous prime is 434117. The next prime is 434141. The reversal of 434124 is 421434.

434124 = 103² + 104² + ... + 133².

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 434097 and 434106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 922 + ... + 1310.

2⁴³⁴¹²⁴ 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 434124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567840).

434124 is an abundant number, since it is smaller than the sum of its proper divisors (701556).

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

434124 is a wasteful number, since it uses less digits than its factorization.

434124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 425 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 434124 is about 658.8808693535. The cubic root of 434124 is about 75.7189527375.

Adding to 434124 its reverse (421434), we get a palindrome (855558).

The spelling of 434124 in words is "four hundred thirty-four thousand, one hundred twenty-four".