429093882 has 96 divisors (see below), whose sum is σ = 1115303040. Its totient is φ = 121927680.

The previous prime is 429093881. The next prime is 429093887. The reversal of 429093882 is 288390924.

It is not an unprimeable number, because it can be changed into a prime (429093881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679707 + ... + 680337.

It is an arithmetic number, because the mean of its divisors is an integer number (11617740).

Almost surely, 2^429093882 is an apocalyptic number.

429093882 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 429093882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557651520).

429093882 is an abundant number, since it is smaller than the sum of its proper divisors (686209158).

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

429093882 is a wasteful number, since it uses less digits than its factorization.

429093882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 429093882 is about 20714.5813860672. The cubic root of 429093882 is about 754.2536852729.

The spelling of 429093882 in words is "four hundred twenty-nine million, ninety-three thousand, eight hundred eighty-two".