426133440 has 448 divisors, whose sum is σ = 1630801920. Its totient is φ = 104509440.

The previous prime is 426133417. The next prime is 426133451. The reversal of 426133440 is 44331624.

426133440 is a `hidden beast` number, since 4 + 2 + 613 + 3 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

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 63 ways as a sum of consecutive naturals, for example, 9910059 + ... + 9910101.

Almost surely, 2^426133440 is an apocalyptic number.

426133440 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 426133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815400960).

426133440 is an abundant number, since it is smaller than the sum of its proper divisors (1204668480).

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

426133440 is a wasteful number, since it uses less digits than its factorization.

426133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 426133440 is about 20642.9997820084. Note that the first 3 decimals coincide. The cubic root of 426133440 is about 752.5150764263.

The spelling of 426133440 in words is "four hundred twenty-six million, one hundred thirty-three thousand, four hundred forty".