387921920 has 96 divisors (see below), whose sum is σ = 953512560. Its totient is φ = 151388160.

The previous prime is 387921913. The next prime is 387921923. The reversal of 387921920 is 29129783.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387921923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439880 + ... + 440760.

Almost surely, 2^387921920 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 387921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476756280).

387921920 is an abundant number, since it is smaller than the sum of its proper divisors (565590640).

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

387921920 is an equidigital number, since it uses as much as digits as its factorization.

387921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 387921920 is about 19695.7335481571. The cubic root of 387921920 is about 729.3143747061.

The spelling of 387921920 in words is "three hundred eighty-seven million, nine hundred twenty-one thousand, nine hundred twenty".