360464384 has 90 divisors (see below), whose sum is σ = 840473550. Its totient is φ = 154140672.

The previous prime is 360464383. The next prime is 360464389. The reversal of 360464384 is 483464063.

It can be written as a sum of positive squares in only one way, i.e., 321126400 + 39337984 = 17920^2 + 6272^2 .

It is not an unprimeable number, because it can be changed into a prime (360464383) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 802592 + ... + 803040.

It is an arithmetic number, because the mean of its divisors is an integer number (9338595).

Almost surely, 2^360464384 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 360464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420236775).

360464384 is an abundant number, since it is smaller than the sum of its proper divisors (480009166).

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

360464384 is an frugal number, since it uses more digits than its factorization.

360464384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The square root of 360464384 is about 18985.8996099737. The cubic root of 360464384 is about 711.6844117526.

The spelling of 360464384 in words is "three hundred sixty million, four hundred sixty-four thousand, three hundred eighty-four".