429790920 has 128 divisors (see below), whose sum is σ = 1399386240. Its totient is φ = 104970240.

The previous prime is 429790883. The next prime is 429790961. The reversal of 429790920 is 29097924.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212715 + ... + 214725.

It is an arithmetic number, because the mean of its divisors is an integer number (10932705).

Almost surely, 2^429790920 is an apocalyptic number.

429790920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429790920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699693120).

429790920 is an abundant number, since it is smaller than the sum of its proper divisors (969595320).

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

429790920 is a wasteful number, since it uses less digits than its factorization.

429790920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 429790920 is about 20731.3993738966. The cubic root of 429790920 is about 754.6618780400.

The spelling of 429790920 in words is "four hundred twenty-nine million, seven hundred ninety thousand, nine hundred twenty".