434430648 has 128 divisors (see below), whose sum is σ = 1286452800. Its totient is φ = 135364608.

The previous prime is 434430641. The next prime is 434430679. The reversal of 434430648 is 846034434.

434430648 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 3 + 0 + 648 = 666.

It is a Cunningham number, because it is equal to 20843²-1.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434430641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708390 + ... + 709002.

Almost surely, 2^434430648 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 434430648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643226400).

434430648 is an abundant number, since it is smaller than the sum of its proper divisors (852022152).

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

434430648 is a wasteful number, since it uses less digits than its factorization.

434430648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 434430648 is about 20842.9999760111. Note that the first 4 decimals coincide. The cubic root of 434430648 is about 757.3677683115.

The spelling of 434430648 in words is "four hundred thirty-four million, four hundred thirty thousand, six hundred forty-eight".