426481200 has 150 divisors (see below), whose sum is σ = 1530723084. Its totient is φ = 113719680.

The previous prime is 426481183. The next prime is 426481207. The reversal of 426481200 is 2184624.

426481200 is a `hidden beast` number, since 4 + 2 + 648 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (426481207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 25819 + ... + 38981.

Almost surely, 2^426481200 is an apocalyptic number.

426481200 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 426481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765361542).

426481200 is an abundant number, since it is smaller than the sum of its proper divisors (1104241884).

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

426481200 is a wasteful number, since it uses less digits than its factorization.

426481200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13193 (or 13173 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 426481200 is about 20651.4212585962. The cubic root of 426481200 is about 752.7197255358.

The spelling of 426481200 in words is "four hundred twenty-six million, four hundred eighty-one thousand, two hundred".