387685440 has 140 divisors (see below), whose sum is σ = 1379157516. Its totient is φ = 103375872.

The previous prime is 387685409. The next prime is 387685453. The reversal of 387685440 is 44586783.

387685440 is a `hidden beast` number, since 38 + 76 + 8 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118200384 + 269485056 = 10872^2 + 16416^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18442 + ... + 33398.

Almost surely, 2^387685440 is an apocalyptic number.

387685440 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 387685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689578758).

387685440 is an abundant number, since it is smaller than the sum of its proper divisors (991472076).

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

387685440 is a wasteful number, since it uses less digits than its factorization.

387685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14986 (or 14967 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 387685440 is about 19689.7293023546. The cubic root of 387685440 is about 729.1661461475.

The spelling of 387685440 in words is "three hundred eighty-seven million, six hundred eighty-five thousand, four hundred forty".