421429120 has 128 divisors (see below), whose sum is σ = 1212249600. Its totient is φ = 136857600.

The previous prime is 421429117. The next prime is 421429171. The reversal of 421429120 is 21924124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82645 + ... + 87595.

It is an arithmetic number, because the mean of its divisors is an integer number (9470700).

Almost surely, 2^421429120 is an apocalyptic number.

421429120 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 421429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606124800).

421429120 is an abundant number, since it is smaller than the sum of its proper divisors (790820480).

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

421429120 is a wasteful number, since it uses less digits than its factorization.

421429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 421429120 is about 20528.7388799215. The cubic root of 421429120 is about 749.7356816735.

The spelling of 421429120 in words is "four hundred twenty-one million, four hundred twenty-nine thousand, one hundred twenty".