384817940 has 48 divisors (see below), whose sum is σ = 872015760. Its totient is φ = 141803520.

The previous prime is 384817931. The next prime is 384817957. The reversal of 384817940 is 49718483.

It can be written as a sum of positive squares in 8 ways, for example, as 8690704 + 376127236 = 2948^2 + 19394^2 .

It is a junction number, because it is equal to n+sod(n) for n = 384817891 and 384817900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165506 + ... + 167814.

It is an arithmetic number, because the mean of its divisors is an integer number (18166995).

Almost surely, 2^384817940 is an apocalyptic number.

It is an amenable number.

384817940 is an abundant number, since it is smaller than the sum of its proper divisors (487197820).

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

384817940 is a wasteful number, since it uses less digits than its factorization.

384817940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 384817940 is about 19616.7770033714. Note that the first 3 decimals coincide. The cubic root of 384817940 is about 727.3639460110.

The spelling of 384817940 in words is "three hundred eighty-four million, eight hundred seventeen thousand, nine hundred forty".