384957216 has 144 divisors (see below), whose sum is σ = 1257669504. Its totient is φ = 109412352.

The previous prime is 384957203. The next prime is 384957227. The reversal of 384957216 is 612759483.

384957216 is a `hidden beast` number, since 38 + 49 + 572 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517741 + ... + 518483.

It is an arithmetic number, because the mean of its divisors is an integer number (8733816).

Almost surely, 2^384957216 is an apocalyptic number.

384957216 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 384957216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628834752).

384957216 is an abundant number, since it is smaller than the sum of its proper divisors (872712288).

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

384957216 is a wasteful number, since it uses less digits than its factorization.

384957216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1012 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 384957216 is about 19620.3266027862. The cubic root of 384957216 is about 727.4516863087.

The spelling of 384957216 in words is "three hundred eighty-four million, nine hundred fifty-seven thousand, two hundred sixteen".