1398247200 has 216 divisors, whose sum is σ = 5635139328. Its totient is φ = 319587840.

The previous prime is 1398247199. The next prime is 1398247261. The reversal of 1398247200 is 27428931.

1398247200 is a `hidden beast` number, since 1 + 398 + 247 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36529 + ... + 64271.

It is an arithmetic number, because the mean of its divisors is an integer number (26088608).

Almost surely, 2^1398247200 is an apocalyptic number.

1398247200 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 1398247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817569664).

1398247200 is an abundant number, since it is smaller than the sum of its proper divisors (4236892128).

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

1398247200 is a wasteful number, since it uses less digits than its factorization.

1398247200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27776 (or 27760 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1398247200 is about 37393.1437565766. The cubic root of 1398247200 is about 1118.2218809218.

The spelling of 1398247200 in words is "one billion, three hundred ninety-eight million, two hundred forty-seven thousand, two hundred".