1387919904 has 288 divisors, whose sum is σ = 4560857280. Its totient is φ = 367331328.

The previous prime is 1387919893. The next prime is 1387919921. The reversal of 1387919904 is 4099197831.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4736782 + ... + 4737074.

It is an arithmetic number, because the mean of its divisors is an integer number (15836310).

Almost surely, 2^1387919904 is an apocalyptic number.

1387919904 is a gapful number since it is divisible by the number (14) 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 1387919904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280428640).

1387919904 is an abundant number, since it is smaller than the sum of its proper divisors (3172937376).

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

1387919904 is a wasteful number, since it uses less digits than its factorization.

1387919904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 1387919904 is about 37254.7970602445. The cubic root of 1387919904 is about 1115.4620549408.

The spelling of 1387919904 in words is "one billion, three hundred eighty-seven million, nine hundred nineteen thousand, nine hundred four".