360309360 has 80 divisors (see below), whose sum is σ = 1121312160. Its totient is φ = 95708160.

The previous prime is 360309359. The next prime is 360309409. The reversal of 360309360 is 63903063.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 61770 + ... + 67350.

It is an arithmetic number, because the mean of its divisors is an integer number (14016402).

Almost surely, 2^360309360 is an apocalyptic number.

360309360 is a gapful number since it is divisible by the number (30) 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 360309360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560656080).

360309360 is an abundant number, since it is smaller than the sum of its proper divisors (761002800).

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

360309360 is a wasteful number, since it uses less digits than its factorization.

360309360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

The square root of 360309360 is about 18981.8165621734. The cubic root of 360309360 is about 711.5823730223.

The spelling of 360309360 in words is "three hundred sixty million, three hundred nine thousand, three hundred sixty".