434480723064 has 320 divisors, whose sum is σ = 1307353037760. Its totient is φ = 134329466880.

The previous prime is 434480723059. The next prime is 434480723119. The reversal of 434480723064 is 460327084434.

434480723064 is a `hidden beast` number, since 43 + 4 + 480 + 72 + 3 + 0 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 300262389 + ... + 300263835.

It is an arithmetic number, because the mean of its divisors is an integer number (4085478243).

Almost surely, 2^434480723064 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 434480723064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653676518880).

434480723064 is an abundant number, since it is smaller than the sum of its proper divisors (872872314696).

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

434480723064 is a wasteful number, since it uses less digits than its factorization.

434480723064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 434480723064 in words is "four hundred thirty-four billion, four hundred eighty million, seven hundred twenty-three thousand, sixty-four".