429460992 has 60 divisors (see below), whose sum is σ = 1239466800. Its totient is φ = 143152128.

The previous prime is 429460979. The next prime is 429461023. The reversal of 429460992 is 299064924.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41992 + ... + 51207.

It is an arithmetic number, because the mean of its divisors is an integer number (20657780).

Almost surely, 2^429460992 is an apocalyptic number.

It is an amenable number.

429460992 is an abundant number, since it is smaller than the sum of its proper divisors (810005808).

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

429460992 is an equidigital number, since it uses as much as digits as its factorization.

429460992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93223 (or 93204 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 429460992 is about 20723.4406409747. The cubic root of 429460992 is about 754.4687237950.

The spelling of 429460992 in words is "four hundred twenty-nine million, four hundred sixty thousand, nine hundred ninety-two".