434021424 has 80 divisors (see below), whose sum is σ = 1228180320. Its totient is φ = 131461120.

The previous prime is 434021387. The next prime is 434021437. The reversal of 434021424 is 424120434.

It is a happy number.

It is a super-3 number, since 3×434021424³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 434021394 and 434021403.

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, 14494 + ... + 32834.

It is an arithmetic number, because the mean of its divisors is an integer number (15352254).

Almost surely, 2^434021424 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 434021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614090160).

434021424 is an abundant number, since it is smaller than the sum of its proper divisors (794158896).

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

434021424 is a wasteful number, since it uses less digits than its factorization.

434021424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18398 (or 18392 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 434021424 is about 20833.1808421086. The cubic root of 434021424 is about 757.1298857430.

Adding to 434021424 its reverse (424120434), we get a palindrome (858141858).

The spelling of 434021424 in words is "four hundred thirty-four million, twenty-one thousand, four hundred twenty-four".