1426885200 has 240 divisors, whose sum is σ = 5469858240. Its totient is φ = 351198720.

The previous prime is 1426885193. The next prime is 1426885223. The reversal of 1426885200 is 25886241.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135319 + ... + 145481.

It is an arithmetic number, because the mean of its divisors is an integer number (22791076).

Almost surely, 2^1426885200 is an apocalyptic number.

1426885200 is a gapful number since it is divisible by the number (10) 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 1426885200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734929120).

1426885200 is an abundant number, since it is smaller than the sum of its proper divisors (4042973040).

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

1426885200 is a wasteful number, since it uses less digits than its factorization.

1426885200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10203 (or 10186 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1426885200 is about 37774.1340072807. The cubic root of 1426885200 is about 1125.8045799971.

The spelling of 1426885200 in words is "one billion, four hundred twenty-six million, eight hundred eighty-five thousand, two hundred".