1986398400 has 168 divisors, whose sum is σ = 7448174080. Its totient is φ = 454026240.

The previous prime is 1986398399. The next prime is 1986398443. The reversal of 1986398400 is 48936891.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1986398400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4041 + ... + 63159.

Almost surely, 2^1986398400 is an apocalyptic number.

1986398400 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 1986398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724087040).

1986398400 is an abundant number, since it is smaller than the sum of its proper divisors (5461775680).

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

1986398400 is a wasteful number, since it uses less digits than its factorization.

1986398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59151 (or 59136 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 1986398400 is about 44569.0296057700. The cubic root of 1986398400 is about 1257.0583935775.

The spelling of 1986398400 in words is "one billion, nine hundred eighty-six million, three hundred ninety-eight thousand, four hundred".