429290992 has 80 divisors (see below), whose sum is σ = 931815360. Its totient is φ = 190310400.

The previous prime is 429290963. The next prime is 429290993. The reversal of 429290992 is 299092924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429290993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605134 + ... + 605842.

It is an arithmetic number, because the mean of its divisors is an integer number (11647692).

Almost surely, 2^429290992 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 429290992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465907680).

429290992 is an abundant number, since it is smaller than the sum of its proper divisors (502524368).

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

429290992 is a wasteful number, since it uses less digits than its factorization.

429290992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The square root of 429290992 is about 20719.3385994824. The cubic root of 429290992 is about 754.3691597579.

The spelling of 429290992 in words is "four hundred twenty-nine million, two hundred ninety thousand, nine hundred ninety-two".