387939456 has 320 divisors, whose sum is σ = 1279618560. Its totient is φ = 116121600.

The previous prime is 387939437. The next prime is 387939469. The reversal of 387939456 is 654939783.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5463901 + ... + 5463971.

It is an arithmetic number, because the mean of its divisors is an integer number (3998808).

Almost surely, 2^387939456 is an apocalyptic number.

387939456 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 387939456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639809280).

387939456 is an abundant number, since it is smaller than the sum of its proper divisors (891679104).

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

387939456 is a wasteful number, since it uses less digits than its factorization.

387939456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 387939456 is about 19696.1787156799. The cubic root of 387939456 is about 729.3253640861.

The spelling of 387939456 in words is "three hundred eighty-seven million, nine hundred thirty-nine thousand, four hundred fifty-six".