387302256 has 160 divisors (see below), whose sum is σ = 1223136000. Its totient is φ = 116363520.

The previous prime is 387302243. The next prime is 387302257. The reversal of 387302256 is 652203783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 387302256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387302257) 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, 707775 + ... + 708321.

It is an arithmetic number, because the mean of its divisors is an integer number (7644600).

Almost surely, 2^387302256 is an apocalyptic number.

387302256 is a gapful number since it is divisible by the number (36) 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 387302256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611568000).

387302256 is an abundant number, since it is smaller than the sum of its proper divisors (835833744).

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

387302256 is a wasteful number, since it uses less digits than its factorization.

387302256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 387302256 is about 19679.9963414631. The cubic root of 387302256 is about 728.9258337053.

The spelling of 387302256 in words is "three hundred eighty-seven million, three hundred two thousand, two hundred fifty-six".