360385000 has 40 divisors (see below), whose sum is σ = 844393770. Its totient is φ = 144152000.

The previous prime is 360384961. The next prime is 360385007. The reversal of 360385000 is 583063.

It can be written as a sum of positive squares in 5 ways, for example, as 9721924 + 350663076 = 3118^2 + 18726^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (360385007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31039 + ... + 41038.

Almost surely, 2^360385000 is an apocalyptic number.

It is an amenable number.

360385000 is an abundant number, since it is smaller than the sum of its proper divisors (484008770).

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

360385000 is an equidigital number, since it uses as much as digits as its factorization.

360385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72103 (or 72084 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 360385000 is about 18983.8088907363. The cubic root of 360385000 is about 711.6321638693.

The spelling of 360385000 in words is "three hundred sixty million, three hundred eighty-five thousand".