426009600 has 297 divisors, whose sum is σ = 1561613313. Its totient is φ = 110960640.

The previous prime is 426009569. The next prime is 426009607. The reversal of 426009600 is 6900624.

The square root of 426009600 is 20640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 153363456 + 272646144 = 12384^2 + 16512^2 .

It is not an unprimeable number, because it can be changed into a prime (426009607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9907179 + ... + 9907221.

Almost surely, 2^426009600 is an apocalyptic number.

426009600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

426009600 is the 20640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426009600

426009600 is an abundant number, since it is smaller than the sum of its proper divisors (1135603713).

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

426009600 is a wasteful number, since it uses less digits than its factorization.

426009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 426009600 is about 752.4421724270.

The spelling of 426009600 in words is "four hundred twenty-six million, nine thousand, six hundred".