434828748900 has 576 divisors, whose sum is σ = 1673067916800. Its totient is φ = 86342860800.

The previous prime is 434828748889. The next prime is 434828748919. The reversal of 434828748900 is 9847828434.

It is a happy number.

It is a super-3 number, since 3×434828748900³ (a number of 36 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 22731340 + ... + 22750460.

It is an arithmetic number, because the mean of its divisors is an integer number (2904631800).

Almost surely, 2^434828748900 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 434828748900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836533958400).

434828748900 is an abundant number, since it is smaller than the sum of its proper divisors (1238239167900).

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

434828748900 is a wasteful number, since it uses less digits than its factorization.

434828748900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19189 (or 19168 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 434828748900 in words is "four hundred thirty-four billion, eight hundred twenty-eight million, seven hundred forty-eight thousand, nine hundred".