426606624 has 144 divisors (see below), whose sum is σ = 1271821824. Its totient is φ = 135475200.

The previous prime is 426606623. The next prime is 426606641.

426606624 is a `hidden beast` number, since 4 + 26 + 6 + 0 + 6 + 624 = 666.

426606624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (426606623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633552 + ... + 634224.

It is an arithmetic number, because the mean of its divisors is an integer number (8832096).

Almost surely, 2^426606624 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 426606624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635910912).

426606624 is an abundant number, since it is smaller than the sum of its proper divisors (845215200).

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

426606624 is a wasteful number, since it uses less digits than its factorization.

426606624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 426606624 is about 20654.4577270864. The cubic root of 426606624 is about 752.7935075028.

It can be divided in two parts, 42660 and 6624, that added together give a square (49284 = 222²).

The spelling of 426606624 in words is "four hundred twenty-six million, six hundred six thousand, six hundred twenty-four".