434509493760 has 480 divisors, whose sum is σ = 1574176032000. Its totient is φ = 110554988544.

The previous prime is 434509493731. The next prime is 434509493777. The reversal of 434509493760 is 67394905434.

It is a happy number.

434509493760 is a `hidden beast` number, since 4 + 3 + 4 + 509 + 49 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 434509493697 and 434509493706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289865491 + ... + 289866989.

It is an arithmetic number, because the mean of its divisors is an integer number (3279533400).

Almost surely, 2^434509493760 is an apocalyptic number.

434509493760 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 434509493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787088016000).

434509493760 is an abundant number, since it is smaller than the sum of its proper divisors (1139666538240).

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

434509493760 is a wasteful number, since it uses less digits than its factorization.

434509493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 434509493760 in words is "four hundred thirty-four billion, five hundred nine million, four hundred ninety-three thousand, seven hundred sixty".