426311424 has 432 divisors, whose sum is σ = 1607074560. Its totient is φ = 109486080.

The previous prime is 426311401. The next prime is 426311443. The reversal of 426311424 is 424113624.

It is a happy number.

426311424 is a `hidden beast` number, since 4 + 2 + 631 + 1 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

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, 4789972 + ... + 4790060.

It is an arithmetic number, because the mean of its divisors is an integer number (3720080).

Almost surely, 2^426311424 is an apocalyptic number.

426311424 is a gapful number since it is divisible by the number (44) 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 426311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803537280).

426311424 is an abundant number, since it is smaller than the sum of its proper divisors (1180763136).

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

426311424 is an equidigital number, since it uses as much as digits as its factorization.

426311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 426311424 is about 20647.3103333098. The cubic root of 426311424 is about 752.6198299988.

The spelling of 426311424 in words is "four hundred twenty-six million, three hundred eleven thousand, four hundred twenty-four".