1398196800 has 1008 divisors, whose sum is σ = 6741151872. Its totient is φ = 265420800.

The previous prime is 1398196783. The next prime is 1398196819. The reversal of 1398196800 is 86918931.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14414352 + ... + 14414448.

Almost surely, 2^1398196800 is an apocalyptic number.

1398196800 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 1398196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370575936).

1398196800 is an abundant number, since it is smaller than the sum of its proper divisors (5342955072).

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

1398196800 is a wasteful number, since it uses less digits than its factorization.

1398196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1398196800 is about 37392.4698301677. The cubic root of 1398196800 is about 1118.2084452766.

The spelling of 1398196800 in words is "one billion, three hundred ninety-eight million, one hundred ninety-six thousand, eight hundred".