426041600 has 54 divisors (see below), whose sum is σ = 1054535370. Its totient is φ = 170414080.

The previous prime is 426041599. The next prime is 426041621. The reversal of 426041600 is 6140624.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 692224 + 425349376 = 832^2 + 20624^2 .

It is a super-2 number, since 2×426041600² = 363022889861120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26885 + ... + 39684.

Almost surely, 2^426041600 is an apocalyptic number.

426041600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426041600 is an abundant number, since it is smaller than the sum of its proper divisors (628493770).

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

426041600 is an equidigital number, since it uses as much as digits as its factorization.

426041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66595 (or 66576 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 426041600 is about 20640.7751792417. The cubic root of 426041600 is about 752.4610120233.

The spelling of 426041600 in words is "four hundred twenty-six million, forty-one thousand, six hundred".