1987413408 has 144 divisors (see below), whose sum is σ = 5884534656. Its totient is φ = 659819520.

The previous prime is 1987413403. The next prime is 1987413409. The reversal of 1987413408 is 8043147891.

It is a happy number.

1987413408 is a `hidden beast` number, since 198 + 7 + 413 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1987413401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3351160 + ... + 3351752.

It is an arithmetic number, because the mean of its divisors is an integer number (40864824).

Almost surely, 2^1987413408 is an apocalyptic number.

1987413408 is a gapful number since it is divisible by the number (18) 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 1987413408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942267328).

1987413408 is an abundant number, since it is smaller than the sum of its proper divisors (3897121248).

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

1987413408 is an equidigital number, since it uses as much as digits as its factorization.

1987413408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1987413408 is about 44580.4150720919. The cubic root of 1987413408 is about 1257.2724672941.

The spelling of 1987413408 in words is "one billion, nine hundred eighty-seven million, four hundred thirteen thousand, four hundred eight".