1987448400 has 720 divisors, whose sum is σ = 8596783104. Its totient is φ = 431101440.

The previous prime is 1987448321. The next prime is 1987448417. The reversal of 1987448400 is 48447891.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1987448400² = 7899902285325120000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15649137 + ... + 15649263.

Almost surely, 2^1987448400 is an apocalyptic number.

1987448400 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 1987448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298391552).

1987448400 is an abundant number, since it is smaller than the sum of its proper divisors (6609334704).

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

1987448400 is a wasteful number, since it uses less digits than its factorization.

1987448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1987448400 is about 44580.8075296982. The cubic root of 1987448400 is about 1257.2798461011.

The spelling of 1987448400 in words is "one billion, nine hundred eighty-seven million, four hundred forty-eight thousand, four hundred".