387973120 has 88 divisors (see below), whose sum is σ = 956301084. Its totient is φ = 150994944.

The previous prime is 387973093. The next prime is 387973121. The reversal of 387973120 is 21379783.

It can be written as a sum of positive squares in 2 ways, for example, as 378535936 + 9437184 = 19456^2 + 3072^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (387973121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10485742 + ... + 10485778.

Almost surely, 2^387973120 is an apocalyptic number.

387973120 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478150542).

387973120 is an abundant number, since it is smaller than the sum of its proper divisors (568327964).

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

387973120 is an frugal number, since it uses more digits than its factorization.

387973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 387973120 is about 19697.0332791515. The cubic root of 387973120 is about 729.3464595590.

The spelling of 387973120 in words is "three hundred eighty-seven million, nine hundred seventy-three thousand, one hundred twenty".