429000496992 has 336 divisors, whose sum is σ = 1309417235280. Its totient is φ = 138203283456.

The previous prime is 429000496961. The next prime is 429000496997. The reversal of 429000496992 is 299694000924.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429000496997) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 97298884 + ... + 97303292.

It is an arithmetic number, because the mean of its divisors is an integer number (3897075105).

Almost surely, 2^429000496992 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 429000496992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654708617640).

429000496992 is an abundant number, since it is smaller than the sum of its proper divisors (880416738288).

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

429000496992 is an equidigital number, since it uses as much as digits as its factorization.

429000496992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 429000496992 in words is "four hundred twenty-nine billion, four hundred ninety-six thousand, nine hundred ninety-two".