426222624 has 48 divisors (see below), whose sum is σ = 1121928192. Its totient is φ = 141681408.

The previous prime is 426222607. The next prime is 426222659.

426222624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 426222591 and 426222600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29857 + ... + 41759.

It is an arithmetic number, because the mean of its divisors is an integer number (23373504).

Almost surely, 2^426222624 is an apocalyptic number.

It is an amenable number.

426222624 is an abundant number, since it is smaller than the sum of its proper divisors (695705568).

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

426222624 is a wasteful number, since it uses less digits than its factorization.

426222624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12289 (or 12281 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 426222624 is about 20645.1598201612. The cubic root of 426222624 is about 752.5675698606.

The spelling of 426222624 in words is "four hundred twenty-six million, two hundred twenty-two thousand, six hundred twenty-four".