434940250000 has 105 divisors (see below), whose sum is σ = 1054156643341. Its totient is φ = 173844200000.

The previous prime is 434940249941. The next prime is 434940250049. The reversal of 434940250000 is 52049434.

It is a happy number.

The square root of 434940250000 is 659500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 381049413264 + 53890836736 = 617292^2 + 232144^2 .

It is a Duffinian number.

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 20 ways as a sum of consecutive naturals, for example, 329749341 + ... + 329750659.

Almost surely, 2^434940250000 is an apocalyptic number.

434940250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

434940250000 is the 659500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434940250000

434940250000 is an abundant number, since it is smaller than the sum of its proper divisors (619216393341).

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

434940250000 is an frugal number, since it uses more digits than its factorization.

434940250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 434940250000 its reverse (52049434), we get a palindrome (434992299434).

The spelling of 434940250000 in words is "four hundred thirty-four billion, nine hundred forty million, two hundred fifty thousand".