360809472 has 88 divisors (see below), whose sum is σ = 976599136. Its totient is φ = 118407168.

The previous prime is 360809467. The next prime is 360809473. The reversal of 360809472 is 274908063.

360809472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 360809472.

It is not an unprimeable number, because it can be changed into a prime (360809473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204948 + ... + 206700.

Almost surely, 2^360809472 is an apocalyptic number.

360809472 is a gapful number since it is divisible by the number (32) 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 360809472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488299568).

360809472 is an abundant number, since it is smaller than the sum of its proper divisors (615789664).

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

360809472 is a wasteful number, since it uses less digits than its factorization.

360809472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 360809472 is about 18994.9854435322. The cubic root of 360809472 is about 711.9114479780.

The spelling of 360809472 in words is "three hundred sixty million, eight hundred nine thousand, four hundred seventy-two".