429924420 has 72 divisors (see below), whose sum is σ = 1349089560. Its totient is φ = 110691840.

The previous prime is 429924367. The next prime is 429924437. The reversal of 429924420 is 24429924.

It can be written as a sum of positive squares in 4 ways, for example, as 56430144 + 373494276 = 7512^2 + 19326^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35961 + ... + 46400.

It is an arithmetic number, because the mean of its divisors is an integer number (18737355).

Almost surely, 2^429924420 is an apocalyptic number.

It is an amenable number.

429924420 is an abundant number, since it is smaller than the sum of its proper divisors (919165140).

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

429924420 is a wasteful number, since it uses less digits than its factorization.

429924420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82405 (or 82400 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 429924420 is about 20734.6188776162. The cubic root of 429924420 is about 754.7400066731.

The spelling of 429924420 in words is "four hundred twenty-nine million, nine hundred twenty-four thousand, four hundred twenty".