387840960 has 280 divisors, whose sum is σ = 1487033856. Its totient is φ = 95385600.

The previous prime is 387840923. The next prime is 387840961. The reversal of 387840960 is 69048783.

It is a happy number.

It is a super-2 number, since 2×387840960² = 300841220507443200, 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 not an unprimeable number, because it can be changed into a prime (387840961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336385 + ... + 337535.

Almost surely, 2^387840960 is an apocalyptic number.

387840960 is a gapful number since it is divisible by the number (30) 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 387840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743516928).

387840960 is an abundant number, since it is smaller than the sum of its proper divisors (1099192896).

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

387840960 is a wasteful number, since it uses less digits than its factorization.

387840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 387840960 is about 19693.6781734647. The cubic root of 387840960 is about 729.2636347704.

The spelling of 387840960 in words is "three hundred eighty-seven million, eight hundred forty thousand, nine hundred sixty".