426488227200 has 2304 divisors, whose sum is σ = 1969931059200. Its totient is φ = 85618114560.

The previous prime is 426488227183. The next prime is 426488227241. The reversal of 426488227200 is 2722884624.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4140662349 + ... + 4140662451.

It is an arithmetic number, because the mean of its divisors is an integer number (855004800).

Almost surely, 2^426488227200 is an apocalyptic number.

426488227200 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 426488227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984965529600).

426488227200 is an abundant number, since it is smaller than the sum of its proper divisors (1543442832000).

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

426488227200 is a wasteful number, since it uses less digits than its factorization.

426488227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 426488227200 in words is "four hundred twenty-six billion, four hundred eighty-eight million, two hundred twenty-seven thousand, two hundred".