1426632000 has 112 divisors (see below), whose sum is σ = 4710818112. Its totient is φ = 380428800.

The previous prime is 1426631957. The next prime is 1426632001. The reversal of 1426632000 is 2366241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426632001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5722 + ... + 53721.

It is an arithmetic number, because the mean of its divisors is an integer number (42060876).

Almost surely, 2^1426632000 is an apocalyptic number.

1426632000 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 1426632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355409056).

1426632000 is an abundant number, since it is smaller than the sum of its proper divisors (3284186112).

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

1426632000 is an equidigital number, since it uses as much as digits as its factorization.

1426632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59473 (or 59453 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1426632000 is about 37770.7823588551. The cubic root of 1426632000 is about 1125.7379849217.

Adding to 1426632000 its reverse (2366241), we get a palindrome (1428998241).

The spelling of 1426632000 in words is "one billion, four hundred twenty-six million, six hundred thirty-two thousand".