434019456 has 192 divisors, whose sum is σ = 1366867320. Its totient is φ = 131383296.

The previous prime is 434019433. The next prime is 434019457. The reversal of 434019456 is 654910434.

It can be written as a sum of positive squares in 4 ways, for example, as 345960000 + 88059456 = 18600^2 + 9384^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 434019456.

It is not an unprimeable number, because it can be changed into a prime (434019457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1093050 + ... + 1093446.

Almost surely, 2^434019456 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 434019456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683433660).

434019456 is an abundant number, since it is smaller than the sum of its proper divisors (932847864).

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

434019456 is a wasteful number, since it uses less digits than its factorization.

434019456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 434019456 is about 20833.1336097093. The cubic root of 434019456 is about 757.1287413802.

The spelling of 434019456 in words is "four hundred thirty-four million, nineteen thousand, four hundred fifty-six".