429853319424 has 405 divisors, whose sum is σ = 1335976048407. Its totient is φ = 137462427648.

The previous prime is 429853319383. The next prime is 429853319479. The reversal of 429853319424 is 424913358924.

It is a happy number.

The square root of 429853319424 is 655632.

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

429853319424 is a `hidden beast` number, since 4 + 2 + 98 + 533 + 19 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15158534400 + 414694785024 = 123120^2 + 643968^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2737919154 + ... + 2737919310.

Almost surely, 2^429853319424 is an apocalyptic number.

429853319424 is the 655632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429853319424

429853319424 is an abundant number, since it is smaller than the sum of its proper divisors (906122728983).

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

429853319424 is an frugal number, since it uses more digits than its factorization.

429853319424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 191 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 429853319424 in words is "four hundred twenty-nine billion, eight hundred fifty-three million, three hundred nineteen thousand, four hundred twenty-four".