426883600 has 240 divisors, whose sum is σ = 1278668160. Its totient is φ = 134553600.

The previous prime is 426883591. The next prime is 426883601. The reversal of 426883600 is 6388624.

426883600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×426883600³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 426883600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426883601) 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, 972181 + ... + 972619.

It is an arithmetic number, because the mean of its divisors is an integer number (5327784).

Almost surely, 2^426883600 is an apocalyptic number.

426883600 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 426883600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639334080).

426883600 is an abundant number, since it is smaller than the sum of its proper divisors (851784560).

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

426883600 is a wasteful number, since it uses less digits than its factorization.

426883600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 426883600 is about 20661.1616323962. The cubic root of 426883600 is about 752.9563902889.

The spelling of 426883600 in words is "four hundred twenty-six million, eight hundred eighty-three thousand, six hundred".