387294144 has 56 divisors (see below), whose sum is σ = 1027499088. Its totient is φ = 128747520.

The previous prime is 387294143. The next prime is 387294169. The reversal of 387294144 is 441492783.

It is a junction number, because it is equal to n+sod(n) for n = 387294096 and 387294105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387294143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73684 + ... + 78764.

It is an arithmetic number, because the mean of its divisors is an integer number (18348198).

Almost surely, 2^387294144 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 387294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513749544).

387294144 is an abundant number, since it is smaller than the sum of its proper divisors (640204944).

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

387294144 is a wasteful number, since it uses less digits than its factorization.

387294144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5483 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 387294144 is about 19679.7902427846. The cubic root of 387294144 is about 728.9207445813.

The spelling of 387294144 in words is "three hundred eighty-seven million, two hundred ninety-four thousand, one hundred forty-four".