422341920 has 576 divisors, whose sum is σ = 1941698304. Its totient is φ = 80732160.

The previous prime is 422341901. The next prime is 422341949. The reversal of 422341920 is 29143224.

422341920 is a `hidden beast` number, since 4 + 223 + 419 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1441294 + ... + 1441586.

It is an arithmetic number, because the mean of its divisors is an integer number (3371004).

Almost surely, 2^422341920 is an apocalyptic number.

422341920 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 422341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970849152).

422341920 is an abundant number, since it is smaller than the sum of its proper divisors (1519356384).

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

422341920 is a wasteful number, since it uses less digits than its factorization.

422341920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 422341920 is about 20550.9591017062. The cubic root of 422341920 is about 750.2765913171.

The spelling of 422341920 in words is "four hundred twenty-two million, three hundred forty-one thousand, nine hundred twenty".