422464464224 has 48 divisors (see below), whose sum is σ = 907948938960. Its totient is φ = 191900098560.

The previous prime is 422464464221. The next prime is 422464464251.

422464464224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422464464221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121112 + ... + 927144.

It is an arithmetic number, because the mean of its divisors is an integer number (18915602895).

Almost surely, 2^422464464224 is an apocalyptic number.

422464464224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422464464224 is an abundant number, since it is smaller than the sum of its proper divisors (485484474736).

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

422464464224 is a wasteful number, since it uses less digits than its factorization.

422464464224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807543 (or 807535 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 44.

It can be divided in two parts, 422464 and 464224, that added together give a palindrome (886688).

The spelling of 422464464224 in words is "four hundred twenty-two billion, four hundred sixty-four million, four hundred sixty-four thousand, two hundred twenty-four".