434021824 has 28 divisors (see below), whose sum is σ = 889048768. Its totient is φ = 210009600.

The previous prime is 434021821. The next prime is 434021827. The reversal of 434021824 is 428120434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (434021821) and next prime (434021827).

It is a junction number, because it is equal to n+sod(n) for n = 434021792 and 434021801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434021821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107397 + ... + 111364.

Almost surely, 2^434021824 is an apocalyptic number.

It is an amenable number.

434021824 is an abundant number, since it is smaller than the sum of its proper divisors (455026944).

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

434021824 is a wasteful number, since it uses less digits than its factorization.

434021824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218804 (or 218794 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 434021824 is about 20833.1904421766. The cubic root of 434021824 is about 757.1301183366.

The spelling of 434021824 in words is "four hundred thirty-four million, twenty-one thousand, eight hundred twenty-four".