434704659552 has 504 divisors, whose sum is σ = 1388370964680. Its totient is φ = 133820605440.

The previous prime is 434704659509. The next prime is 434704659607. The reversal of 434704659552 is 255956407434.

It is a happy number.

434704659552 is a `hidden beast` number, since 4 + 3 + 4 + 7 + 0 + 46 + 595 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 345277099 + ... + 345278357.

It is an arithmetic number, because the mean of its divisors is an integer number (2754704295).

Almost surely, 2^434704659552 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 434704659552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694185482340).

434704659552 is an abundant number, since it is smaller than the sum of its proper divisors (953666305128).

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

434704659552 is a wasteful number, since it uses less digits than its factorization.

434704659552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 434704659552 in words is "four hundred thirty-four billion, seven hundred four million, six hundred fifty-nine thousand, five hundred fifty-two".