426564000 has 432 divisors, whose sum is σ = 1647389016. Its totient is φ = 104448000.

The previous prime is 426563993. The next prime is 426564001. The reversal of 426564000 is 465624.

It is a happy number.

426564000 is a `hidden beast` number, since 4 + 2 + 656 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 16744464 + 409819536 = 4092^2 + 20244^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426564001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10403980 + ... + 10404020.

Almost surely, 2^426564000 is an apocalyptic number.

426564000 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 426564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823694508).

426564000 is an abundant number, since it is smaller than the sum of its proper divisors (1220825016).

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

426564000 is a wasteful number, since it uses less digits than its factorization.

426564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 68 counting only the distinct ones).

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

The square root of 426564000 is about 20653.4258659429. The cubic root of 426564000 is about 752.7684351158.

It can be divided in two parts, 42656 and 4000, that added together give a 6-th power (46656 = 6⁶).

The spelling of 426564000 in words is "four hundred twenty-six million, five hundred sixty-four thousand".