387416944 has 40 divisors (see below), whose sum is σ = 797145408. Its totient is φ = 181770240.

The previous prime is 387416923. The next prime is 387416969. The reversal of 387416944 is 449614783.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 387416894 and 387416903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97884 + ... + 101764.

Almost surely, 2^387416944 is an apocalyptic number.

387416944 is a gapful number since it is divisible by the number (34) 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 387416944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398572704).

387416944 is an abundant number, since it is smaller than the sum of its proper divisors (409728464).

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

387416944 is a wasteful number, since it uses less digits than its factorization.

387416944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4267 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 387416944 is about 19682.9099474646. The cubic root of 387416944 is about 728.9977764789.

The spelling of 387416944 in words is "three hundred eighty-seven million, four hundred sixteen thousand, nine hundred forty-four".