387963264 has 256 divisors, whose sum is σ = 1206374400. Its totient is φ = 109486080.

The previous prime is 387963253. The next prime is 387963269. The reversal of 387963264 is 462369783.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387963269) 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, 3559242 + ... + 3559350.

It is an arithmetic number, because the mean of its divisors is an integer number (4712400).

Almost surely, 2^387963264 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 387963264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603187200).

387963264 is an abundant number, since it is smaller than the sum of its proper divisors (818411136).

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

387963264 is a wasteful number, since it uses less digits than its factorization.

387963264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 387963264 is about 19696.7830876009. The cubic root of 387963264 is about 729.3402834443.

The spelling of 387963264 in words is "three hundred eighty-seven million, nine hundred sixty-three thousand, two hundred sixty-four".