429772024900 has 27 divisors (see below), whose sum is σ = 932619520119. Its totient is φ = 171906187680.

The previous prime is 429772024897. The next prime is 429772024909. The reversal of 429772024900 is 9420277924.

The square root of 429772024900 is 655570.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2850919236 + 426921105664 = 53394^2 + 653392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (429772024909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6522922 + ... + 6588478.

Almost surely, 2^429772024900 is an apocalyptic number.

429772024900 is the 655570-th square number.

It is an amenable number.

429772024900 is an abundant number, since it is smaller than the sum of its proper divisors (502847495219).

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

429772024900 is an frugal number, since it uses more digits than its factorization.

429772024900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131128 (or 65564 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 429772024900 in words is "four hundred twenty-nine billion, seven hundred seventy-two million, twenty-four thousand, nine hundred".