387877248 has 320 divisors, whose sum is σ = 1332936000. Its totient is φ = 110730240.

The previous prime is 387877241. The next prime is 387877279. The reversal of 387877248 is 842778783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 387877194 and 387877203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387877241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2166823 + ... + 2167001.

It is an arithmetic number, because the mean of its divisors is an integer number (4165425).

Almost surely, 2^387877248 is an apocalyptic number.

387877248 is a gapful number since it is divisible by the number (38) 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 387877248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666468000).

387877248 is an abundant number, since it is smaller than the sum of its proper divisors (945058752).

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

387877248 is a wasteful number, since it uses less digits than its factorization.

387877248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The square root of 387877248 is about 19694.5994627969. The cubic root of 387877248 is about 729.2863783656.

The spelling of 387877248 in words is "three hundred eighty-seven million, eight hundred seventy-seven thousand, two hundred forty-eight".