429795625744 has 135 divisors (see below), whose sum is σ = 916998819573. Its totient is φ = 195102988800.

The previous prime is 429795625723. The next prime is 429795625747. The reversal of 429795625744 is 447526597924.

The square root of 429795625744 is 655588.

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

It can be written as a sum of positive squares in only one way, i.e., 334615971600 + 95179654144 = 578460^2 + 308512^2 .

It is not an unprimeable number, because it can be changed into a prime (429795625747) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1381979349 + ... + 1381979659.

Almost surely, 2^429795625744 is an apocalyptic number.

429795625744 is the 655588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429795625744

429795625744 is an abundant number, since it is smaller than the sum of its proper divisors (487203193829).

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

429795625744 is an equidigital number, since it uses as much as digits as its factorization.

429795625744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 361 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 64.

Multiplying 429795625744 by its sum of digits (64), we get a square (27506920047616 = 5244704²).

The spelling of 429795625744 in words is "four hundred twenty-nine billion, seven hundred ninety-five million, six hundred twenty-five thousand, seven hundred forty-four".