429020500 has 72 divisors (see below), whose sum is σ = 995674680. Its totient is φ = 161459200.

The previous prime is 429020477. The next prime is 429020521. The reversal of 429020500 is 5020924.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 325225156 + 103795344 = 18034^2 + 10188^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 143016 + ... + 145984.

It is an arithmetic number, because the mean of its divisors is an integer number (13828815).

Almost surely, 2^429020500 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 429020500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497837340).

429020500 is an abundant number, since it is smaller than the sum of its proper divisors (566654180).

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

429020500 is a wasteful number, since it uses less digits than its factorization.

429020500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 429020500 is about 20712.8100459595. The cubic root of 429020500 is about 754.2106862917.

The spelling of 429020500 in words is "four hundred twenty-nine million, twenty thousand, five hundred".