1387320480 has 384 divisors, whose sum is σ = 5977843200. Its totient is φ = 292626432.

The previous prime is 1387320433. The next prime is 1387320491. The reversal of 1387320480 is 840237831.

It is a super-2 number, since 2×1387320480² = 3849316228454860800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391356 + ... + 394884.

It is an arithmetic number, because the mean of its divisors is an integer number (15567300).

Almost surely, 2^1387320480 is an apocalyptic number.

1387320480 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 1387320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988921600).

1387320480 is an abundant number, since it is smaller than the sum of its proper divisors (4590522720).

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

1387320480 is a wasteful number, since it uses less digits than its factorization.

1387320480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1387320480 is about 37246.7512677280. The cubic root of 1387320480 is about 1115.3014474480.

The spelling of 1387320480 in words is "one billion, three hundred eighty-seven million, three hundred twenty thousand, four hundred eighty".