426961440 has 144 divisors (see below), whose sum is σ = 1462406400. Its totient is φ = 113435136.

The previous prime is 426961439. The next prime is 426961499. The reversal of 426961440 is 44169624.

426961440 is a `hidden beast` number, since 426 + 96 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 426961395 and 426961404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689451 + ... + 690069.

It is an arithmetic number, because the mean of its divisors is an integer number (10155600).

Almost surely, 2^426961440 is an apocalyptic number.

426961440 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 426961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

426961440 is an abundant number, since it is smaller than the sum of its proper divisors (1035444960).

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

426961440 is a wasteful number, since it uses less digits than its factorization.

426961440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 426961440 is about 20663.0452741119. The cubic root of 426961440 is about 753.0021533988.

The spelling of 426961440 in words is "four hundred twenty-six million, nine hundred sixty-one thousand, four hundred forty".