387745920 has 256 divisors, whose sum is σ = 1446768000. Its totient is φ = 97873920.

The previous prime is 387745909. The next prime is 387745927. The reversal of 387745920 is 29547783.

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

It is not an unprimeable number, because it can be changed into a prime (387745927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327730 + ... + 328910.

Almost surely, 2^387745920 is an apocalyptic number.

387745920 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 387745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723384000).

387745920 is an abundant number, since it is smaller than the sum of its proper divisors (1059022080).

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

387745920 is a wasteful number, since it uses less digits than its factorization.

387745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 387745920 is about 19691.2650685526. The cubic root of 387745920 is about 729.2040614872.

The spelling of 387745920 in words is "three hundred eighty-seven million, seven hundred forty-five thousand, nine hundred twenty".