426389376 has 384 divisors, whose sum is σ = 1473500160. Its totient is φ = 108380160.

The previous prime is 426389371. The next prime is 426389413. The reversal of 426389376 is 673983624.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426389371) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9916011 + ... + 9916053.

It is an arithmetic number, because the mean of its divisors is an integer number (3837240).

Almost surely, 2^426389376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426389376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736750080).

426389376 is an abundant number, since it is smaller than the sum of its proper divisors (1047110784).

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

426389376 is a wasteful number, since it uses less digits than its factorization.

426389376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 426389376 is about 20649.1979505258. The cubic root of 426389376 is about 752.6656999444.

It can be divided in two parts, 4263 and 89376, that added together give a palindrome (93639).

The spelling of 426389376 in words is "four hundred twenty-six million, three hundred eighty-nine thousand, three hundred seventy-six".