422115840 has 320 divisors, whose sum is σ = 1555614720. Its totient is φ = 108380160.

The previous prime is 422115817. The next prime is 422115847. The reversal of 422115840 is 48511224.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (422115847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2142622 + ... + 2142818.

It is an arithmetic number, because the mean of its divisors is an integer number (4861296).

Almost surely, 2^422115840 is an apocalyptic number.

422115840 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 422115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777807360).

422115840 is an abundant number, since it is smaller than the sum of its proper divisors (1133498880).

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

422115840 is a wasteful number, since it uses less digits than its factorization.

422115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 422115840 is about 20545.4578921960. The cubic root of 422115840 is about 750.1426928499.

The spelling of 422115840 in words is "four hundred twenty-two million, one hundred fifteen thousand, eight hundred forty".