422665152 has 224 divisors, whose sum is σ = 1458358272. Its totient is φ = 104841216.

The previous prime is 422665151. The next prime is 422665153. The reversal of 422665152 is 251566224.

It is an interprime number because it is at equal distance from previous prime (422665151) and next prime (422665153).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422665151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296313 + ... + 297735.

It is an arithmetic number, because the mean of its divisors is an integer number (6510528).

Almost surely, 2^422665152 is an apocalyptic number.

422665152 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 422665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729179136).

422665152 is an abundant number, since it is smaller than the sum of its proper divisors (1035693120).

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

422665152 is a wasteful number, since it uses less digits than its factorization.

422665152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1465 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 422665152 is about 20558.8217561221. The cubic root of 422665152 is about 750.4679461966.

It can be divided in two parts, 4226 and 65152, that added together give a triangular number (69378 = T₃₇₂).

The spelling of 422665152 in words is "four hundred twenty-two million, six hundred sixty-five thousand, one hundred fifty-two".