360605952 has 288 divisors, whose sum is σ = 1265644800. Its totient is φ = 99090432.

The previous prime is 360605909. The next prime is 360606013. The reversal of 360605952 is 259506063.

360605952 is a `hidden beast` number, since 3 + 6 + 0 + 60 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1403008 + ... + 1403264.

It is an arithmetic number, because the mean of its divisors is an integer number (4394600).

Almost surely, 2^360605952 is an apocalyptic number.

360605952 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 360605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632822400).

360605952 is an abundant number, since it is smaller than the sum of its proper divisors (905038848).

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

360605952 is a wasteful number, since it uses less digits than its factorization.

360605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 360605952 is about 18989.6274844980. The cubic root of 360605952 is about 711.7775680222. Note that the first 3 decimals are identical.

The spelling of 360605952 in words is "three hundred sixty million, six hundred five thousand, nine hundred fifty-two".