426439440 has 240 divisors, whose sum is σ = 1648573056. Its totient is φ = 96768000.

The previous prime is 426439427. The next prime is 426439469. The reversal of 426439440 is 44934624.

426439440 is a `hidden beast` number, since 4 + 2 + 643 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 426439395 and 426439404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063240 + ... + 1063640.

Almost surely, 2^426439440 is an apocalyptic number.

426439440 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 426439440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824286528).

426439440 is an abundant number, since it is smaller than the sum of its proper divisors (1222133616).

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

426439440 is a wasteful number, since it uses less digits than its factorization.

426439440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 426439440 is about 20650.4101654180. The cubic root of 426439440 is about 752.6951565734.

The spelling of 426439440 in words is "four hundred twenty-six million, four hundred thirty-nine thousand, four hundred forty".