422101680 has 480 divisors, whose sum is σ = 1795385088. Its totient is φ = 80640000.

The previous prime is 422101679. The next prime is 422101697. The reversal of 422101680 is 86101224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 422101680.

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 95 ways as a sum of consecutive naturals, for example, 1681555 + ... + 1681805.

Almost surely, 2^422101680 is an apocalyptic number.

422101680 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 422101680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897692544).

422101680 is an abundant number, since it is smaller than the sum of its proper divisors (1373283408).

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

422101680 is a wasteful number, since it uses less digits than its factorization.

422101680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 422101680 is about 20545.1132875923. The cubic root of 422101680 is about 750.1343048371.

The spelling of 422101680 in words is "four hundred twenty-two million, one hundred one thousand, six hundred eighty".