422814336 has 192 divisors, whose sum is σ = 1364662080. Its totient is φ = 115433472.

The previous prime is 422814331. The next prime is 422814341. The reversal of 422814336 is 633418224.

It is an interprime number because it is at equal distance from previous prime (422814331) and next prime (422814341).

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 422814297 and 422814306.

It is not an unprimeable number, because it can be changed into a prime (422814331) 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 23 ways as a sum of consecutive naturals, for example, 432280 + ... + 433256.

It is an arithmetic number, because the mean of its divisors is an integer number (7107615).

Almost surely, 2^422814336 is an apocalyptic number.

422814336 is a gapful number since it is divisible by the number (46) 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 422814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682331040).

422814336 is an abundant number, since it is smaller than the sum of its proper divisors (941847744).

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

422814336 is a wasteful number, since it uses less digits than its factorization.

422814336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1012 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 422814336 is about 20562.4496595128. The cubic root of 422814336 is about 750.5562309298.

It can be divided in two parts, 42 and 2814336, that added together give a triangular number (2814378 = T₂₃₇₂).

The spelling of 422814336 in words is "four hundred twenty-two million, eight hundred fourteen thousand, three hundred thirty-six".