426213440 has 56 divisors (see below), whose sum is σ = 1020223512. Its totient is φ = 169594880.

The previous prime is 426213419. The next prime is 426213467. The reversal of 426213440 is 44312624.

It can be written as a sum of positive squares in 4 ways, for example, as 220463104 + 205750336 = 14848^2 + 14344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59660 + ... + 66420.

It is an arithmetic number, because the mean of its divisors is an integer number (18218277).

Almost surely, 2^426213440 is an apocalyptic number.

426213440 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 426213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510111756).

426213440 is an abundant number, since it is smaller than the sum of its proper divisors (594010072).

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

426213440 is a wasteful number, since it uses less digits than its factorization.

426213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6975 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 426213440 is about 20644.9373939472. The cubic root of 426213440 is about 752.5621645240.

The spelling of 426213440 in words is "four hundred twenty-six million, two hundred thirteen thousand, four hundred forty".