384480616 has 64 divisors (see below), whose sum is σ = 817120080. Its totient is φ = 168376320.

The previous prime is 384480589. The next prime is 384480641. The reversal of 384480616 is 616084483.

It can be written as a sum of positive squares in 8 ways, for example, as 200335716 + 184144900 = 14154^2 + 13570^2 .

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, 156550 + ... + 158986.

Almost surely, 2^384480616 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 384480616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408560040).

384480616 is an abundant number, since it is smaller than the sum of its proper divisors (432639464).

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

384480616 is a wasteful number, since it uses less digits than its factorization.

384480616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 384480616 is about 19608.1772737804. The cubic root of 384480616 is about 727.1513528018.

The spelling of 384480616 in words is "three hundred eighty-four million, four hundred eighty thousand, six hundred sixteen".