434505456 has 240 divisors, whose sum is σ = 1532044800. Its totient is φ = 111674880.

The previous prime is 434505439. The next prime is 434505473. The reversal of 434505456 is 654505434.

It is an interprime number because it is at equal distance from previous prime (434505439) and next prime (434505473).

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 434505456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1651981 + ... + 1652243.

It is an arithmetic number, because the mean of its divisors is an integer number (6383520).

Almost surely, 2^434505456 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 434505456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766022400).

434505456 is an abundant number, since it is smaller than the sum of its proper divisors (1097539344).

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

434505456 is a wasteful number, since it uses less digits than its factorization.

434505456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 434505456 is about 20844.7944580895. The cubic root of 434505456 is about 757.4112381699.

The spelling of 434505456 in words is "four hundred thirty-four million, five hundred five thousand, four hundred fifty-six".