360441540 has 36 divisors (see below), whose sum is σ = 1093339884. Its totient is φ = 96117696.

The previous prime is 360441517. The next prime is 360441547. The reversal of 360441540 is 45144063.

360441540 is a `hidden beast` number, since 3 + 604 + 4 + 1 + 54 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133818624 + 226622916 = 11568^2 + 15054^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (360441547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1001047 + ... + 1001406.

Almost surely, 2^360441540 is an apocalyptic number.

360441540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

360441540 is an abundant number, since it is smaller than the sum of its proper divisors (732898344).

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

360441540 is a wasteful number, since it uses less digits than its factorization.

360441540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002468 (or 2002463 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 360441540 is about 18985.2979960811. The cubic root of 360441540 is about 711.6693773850.

The spelling of 360441540 in words is "three hundred sixty million, four hundred forty-one thousand, five hundred forty".