426056400 has 720 divisors, whose sum is σ = 1942911360. Its totient is φ = 83865600.

The previous prime is 426056387. The next prime is 426056419. The reversal of 426056400 is 4650624.

It is a happy number.

426056400 is a `hidden beast` number, since 42 + 60 + 564 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 8038774 + ... + 8038826.

It is an arithmetic number, because the mean of its divisors is an integer number (2698488).

Almost surely, 2^426056400 is an apocalyptic number.

426056400 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 426056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971455680).

426056400 is an abundant number, since it is smaller than the sum of its proper divisors (1516854960).

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

426056400 is a wasteful number, since it uses less digits than its factorization.

426056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 426056400 is about 20641.1336897952. The cubic root of 426056400 is about 752.4697250175.

The spelling of 426056400 in words is "four hundred twenty-six million, fifty-six thousand, four hundred".