434402459568 has 800 divisors, whose sum is σ = 1613950272000. Its totient is φ = 109540823040.

The previous prime is 434402459567. The next prime is 434402459573. The reversal of 434402459568 is 865954204434.

434402459568 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 0 + 24 + 59 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (434402459567) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 524007378 + ... + 524008206.

It is an arithmetic number, because the mean of its divisors is an integer number (2017437840).

Almost surely, 2^434402459568 is an apocalyptic number.

434402459568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434402459568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806975136000).

434402459568 is an abundant number, since it is smaller than the sum of its proper divisors (1179547812432).

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

434402459568 is a wasteful number, since it uses less digits than its factorization.

434402459568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 434402459568 in words is "four hundred thirty-four billion, four hundred two million, four hundred fifty-nine thousand, five hundred sixty-eight".