421922160 has 360 divisors, whose sum is σ = 1620833760. Its totient is φ = 98165760.

The previous prime is 421922159. The next prime is 421922197. The reversal of 421922160 is 61229124.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2526397 + ... + 2526563.

It is an arithmetic number, because the mean of its divisors is an integer number (4502316).

Almost surely, 2^421922160 is an apocalyptic number.

421922160 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 421922160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810416880).

421922160 is an abundant number, since it is smaller than the sum of its proper divisors (1198911600).

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

421922160 is a wasteful number, since it uses less digits than its factorization.

421922160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 421922160 is about 20540.7439008425. The cubic root of 421922160 is about 750.0279456254.

The spelling of 421922160 in words is "four hundred twenty-one million, nine hundred twenty-two thousand, one hundred sixty".