1426380800 has 144 divisors (see below), whose sum is σ = 3810381120. Its totient is φ = 526417920.

The previous prime is 1426380797. The next prime is 1426380803. The reversal of 1426380800 is 80836241.

It is an interprime number because it is at equal distance from previous prime (1426380797) and next prime (1426380803).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426380803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 664529 + ... + 666671.

It is an arithmetic number, because the mean of its divisors is an integer number (26460980).

Almost surely, 2^1426380800 is an apocalyptic number.

1426380800 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 1426380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905190560).

1426380800 is an abundant number, since it is smaller than the sum of its proper divisors (2384000320).

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

1426380800 is a wasteful number, since it uses less digits than its factorization.

1426380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 1426380800 is about 37767.4568908207. The cubic root of 1426380800 is about 1125.6719080869.

The spelling of 1426380800 in words is "one billion, four hundred twenty-six million, three hundred eighty thousand, eight hundred".