422414496 has 216 divisors, whose sum is σ = 1436902740. Its totient is φ = 117282816.

The previous prime is 422414483. The next prime is 422414537. The reversal of 422414496 is 694414224.

It is a happy number.

422414496 is a `hidden beast` number, since 422 + 4 + 144 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 344622096 + 77792400 = 18564^2 + 8820^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 422414496.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 521740 + ... + 522548.

Almost surely, 2^422414496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422414496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718451370).

422414496 is an abundant number, since it is smaller than the sum of its proper divisors (1014488244).

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

422414496 is a wasteful number, since it uses less digits than its factorization.

422414496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 858 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 422414496 is about 20552.7247828603. The cubic root of 422414496 is about 750.3195651515.

The spelling of 422414496 in words is "four hundred twenty-two million, four hundred fourteen thousand, four hundred ninety-six".