387983520 has 288 divisors, whose sum is σ = 1456273728. Its totient is φ = 97210368.

The previous prime is 387983513. The next prime is 387983549. The reversal of 387983520 is 25389783.

387983520 is a `hidden beast` number, since 38 + 7 + 98 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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, 660667 + ... + 661253.

It is an arithmetic number, because the mean of its divisors is an integer number (5056506).

Almost surely, 2^387983520 is an apocalyptic number.

387983520 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 387983520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728136864).

387983520 is an abundant number, since it is smaller than the sum of its proper divisors (1068290208).

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

387983520 is a wasteful number, since it uses less digits than its factorization.

387983520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 387983520 is about 19697.2972765301. The cubic root of 387983520 is about 729.3529764499.

The spelling of 387983520 in words is "three hundred eighty-seven million, nine hundred eighty-three thousand, five hundred twenty".