360333984 has 48 divisors (see below), whose sum is σ = 950412960. Its totient is φ = 119535360.

The previous prime is 360333983. The next prime is 360333991. The reversal of 360333984 is 489333063.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (360333983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11362 + ... + 29150.

It is an arithmetic number, because the mean of its divisors is an integer number (19800270).

Almost surely, 2^360333984 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 360333984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475206480).

360333984 is an abundant number, since it is smaller than the sum of its proper divisors (590078976).

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

360333984 is a wasteful number, since it uses less digits than its factorization.

360333984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18013 (or 18005 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 360333984 is about 18982.4651718369. The cubic root of 360333984 is about 711.5985828012.

The spelling of 360333984 in words is "three hundred sixty million, three hundred thirty-three thousand, nine hundred eighty-four".