387730464 has 144 divisors (see below), whose sum is σ = 1158312960. Its totient is φ = 113344000.

The previous prime is 387730463. The next prime is 387730471. The reversal of 387730464 is 464037783.

It is not an unprimeable number, because it can be changed into a prime (387730463) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 336289 + ... + 337439.

It is an arithmetic number, because the mean of its divisors is an integer number (8043840).

Almost surely, 2^387730464 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 387730464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

387730464 is an abundant number, since it is smaller than the sum of its proper divisors (770582496).

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

387730464 is a wasteful number, since it uses less digits than its factorization.

387730464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 387730464 is about 19690.8726063626. The cubic root of 387730464 is about 729.1943723865.

The spelling of 387730464 in words is "three hundred eighty-seven million, seven hundred thirty thousand, four hundred sixty-four".