434475048960 has 1792 divisors, whose sum is σ = 1811828736000. Its totient is φ = 98099527680.

The previous prime is 434475048913. The next prime is 434475048961. The reversal of 434475048960 is 69840574434.

434475048960 is a `hidden beast` number, since 4 + 3 + 4 + 47 + 504 + 8 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 434475048897 and 434475048906.

It is not an unprimeable number, because it can be changed into a prime (434475048961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14015324145 + ... + 14015324175.

Almost surely, 2^434475048960 is an apocalyptic number.

434475048960 is a gapful number since it is divisible by the number (40) 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 434475048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905914368000).

434475048960 is an abundant number, since it is smaller than the sum of its proper divisors (1377353687040).

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

434475048960 is a wasteful number, since it uses less digits than its factorization.

434475048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 434475048960 in words is "four hundred thirty-four billion, four hundred seventy-five million, forty-eight thousand, nine hundred sixty".