426435840 has 252 divisors, whose sum is σ = 1534821204. Its totient is φ = 113467392.

The previous prime is 426435833. The next prime is 426435899. The reversal of 426435840 is 48534624.

426435840 is a `hidden beast` number, since 4 + 2 + 643 + 5 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 269485056 + 156950784 = 16416^2 + 12528^2 .

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 426435795 and 426435804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 932892 + ... + 933348.

Almost surely, 2^426435840 is an apocalyptic number.

426435840 is a gapful number since it is divisible by the number (40) 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 426435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767410602).

426435840 is an abundant number, since it is smaller than the sum of its proper divisors (1108385364).

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

426435840 is an frugal number, since it uses more digits than its factorization.

426435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 426435840 is about 20650.3229998952. The cubic root of 426435840 is about 752.6930384843.

It can be divided in two parts, 4264 and 35840, that added together give a palindrome (40104).

The spelling of 426435840 in words is "four hundred twenty-six million, four hundred thirty-five thousand, eight hundred forty".