387874960 has 80 divisors (see below), whose sum is σ = 987293952. Its totient is φ = 140544000.

The previous prime is 387874951. The next prime is 387874997. The reversal of 387874960 is 69478783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 387874898 and 387874907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322360 + ... + 323560.

Almost surely, 2^387874960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493646976).

387874960 is an abundant number, since it is smaller than the sum of its proper divisors (599418992).

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

387874960 is a wasteful number, since it uses less digits than its factorization.

387874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The square root of 387874960 is about 19694.5413757213. The cubic root of 387874960 is about 729.2849443978.

The spelling of 387874960 in words is "three hundred eighty-seven million, eight hundred seventy-four thousand, nine hundred sixty".