426358080 has 168 divisors, whose sum is σ = 1521086112. Its totient is φ = 113674752.

The previous prime is 426358069. The next prime is 426358091. The reversal of 426358080 is 80853624.

It is an interprime number because it is at equal distance from previous prime (426358069) and next prime (426358091).

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 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, 75019 + ... + 80501.

It is an arithmetic number, because the mean of its divisors is an integer number (9054084).

Almost surely, 2^426358080 is an apocalyptic number.

426358080 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 426358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760543056).

426358080 is an abundant number, since it is smaller than the sum of its proper divisors (1094728032).

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

426358080 is an equidigital number, since it uses as much as digits as its factorization.

426358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 426358080 is about 20648.4401347898. The cubic root of 426358080 is about 752.6472848498.

The spelling of 426358080 in words is "four hundred twenty-six million, three hundred fifty-eight thousand, eighty".