422446752 has 336 divisors, whose sum is σ = 1542441600. Its totient is φ = 110854656.

The previous prime is 422446747. The next prime is 422446757. The reversal of 422446752 is 257644224.

It is an interprime number because it is at equal distance from previous prime (422446747) and next prime (422446757).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×422446752² = 356922516550699008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (107520) is a multiple of the sum of its prime divisors (224).

It is not an unprimeable number, because it can be changed into a prime (422446757) 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 55 ways as a sum of consecutive naturals, for example, 2122749 + ... + 2122947.

It is an arithmetic number, because the mean of its divisors is an integer number (4590600).

Almost surely, 2^422446752 is an apocalyptic number.

422446752 is a gapful number since it is divisible by the number (42) 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 422446752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771220800).

422446752 is an abundant number, since it is smaller than the sum of its proper divisors (1119994848).

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

422446752 is a wasteful number, since it uses less digits than its factorization.

422446752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 422446752 is about 20553.5094813514. The cubic root of 422446752 is about 750.3386630534.

The spelling of 422446752 in words is "four hundred twenty-two million, four hundred forty-six thousand, seven hundred fifty-two".