426780405 has 24 divisors (see below), whose sum is σ = 740539800. Its totient is φ = 227374080.

The previous prime is 426780383. The next prime is 426780407. The reversal of 426780405 is 504087624.

It can be written as a sum of positive squares in 4 ways, for example, as 266048721 + 160731684 = 16311^2 + 12678^2 .

It is not a de Polignac number, because 426780405 - 2⁵ = 426780373 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 426780405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426780407) 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, 42685 + ... + 51725.

It is an arithmetic number, because the mean of its divisors is an integer number (30855825).

Almost surely, 2^426780405 is an apocalyptic number.

426780405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

426780405 is a deficient number, since it is larger than the sum of its proper divisors (313759395).

426780405 is a wasteful number, since it uses less digits than its factorization.

426780405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101 (or 10098 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 426780405 is about 20658.6641630092. The cubic root of 426780405 is about 752.8957120800.

The spelling of 426780405 in words is "four hundred twenty-six million, seven hundred eighty thousand, four hundred five".