426606432 has 192 divisors, whose sum is σ = 1371686400. Its totient is φ = 113319936.

The previous prime is 426606421. The next prime is 426606463. The reversal of 426606432 is 234606624.

It is a junction number, because it is equal to n+sod(n) for n = 426606393 and 426606402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1222194 + ... + 1222542.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2^426606432 is an apocalyptic number.

426606432 is a gapful number since it is divisible by the number (42) 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 426606432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685843200).

426606432 is an abundant number, since it is smaller than the sum of its proper divisors (945079968).

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

426606432 is a wasteful number, since it uses less digits than its factorization.

426606432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 426606432 is about 20654.4530791788. The cubic root of 426606432 is about 752.7933945679.

The spelling of 426606432 in words is "four hundred twenty-six million, six hundred six thousand, four hundred thirty-two".