1398513600 has 588 divisors, whose sum is σ = 5680146120. Its totient is φ = 335923200.

The previous prime is 1398513587. The next prime is 1398513607. The reversal of 1398513600 is 63158931.

It is a happy number.

1398513600 is a `hidden beast` number, since 1 + 39 + 8 + 5 + 13 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398513607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12830346 + ... + 12830454.

Almost surely, 2^1398513600 is an apocalyptic number.

1398513600 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 1398513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840073060).

1398513600 is an abundant number, since it is smaller than the sum of its proper divisors (4281632520).

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

1398513600 is a wasteful number, since it uses less digits than its factorization.

1398513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1398513600 is about 37396.7057372705. The cubic root of 1398513600 is about 1118.2928925408.

The spelling of 1398513600 in words is "one billion, three hundred ninety-eight million, five hundred thirteen thousand, six hundred".