387918960 has 320 divisors, whose sum is σ = 1439907840. Its totient is φ = 85155840.

The previous prime is 387918959. The next prime is 387918961. The reversal of 387918960 is 69819783.

It is an interprime number because it is at equal distance from previous prime (387918959) and next prime (387918961).

It is a super-2 number, since 2×387918960² = 300962239054963200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387918961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3054417 + ... + 3054543.

It is an arithmetic number, because the mean of its divisors is an integer number (4499712).

Almost surely, 2^387918960 is an apocalyptic number.

387918960 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 387918960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719953920).

387918960 is an abundant number, since it is smaller than the sum of its proper divisors (1051988880).

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

387918960 is a wasteful number, since it uses less digits than its factorization.

387918960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 387918960 is about 19695.6584048363. The cubic root of 387918960 is about 729.3125197142.

The spelling of 387918960 in words is "three hundred eighty-seven million, nine hundred eighteen thousand, nine hundred sixty".