360981504 has 264 divisors, whose sum is σ = 1180251072. Its totient is φ = 105431040.

The previous prime is 360981457. The next prime is 360981559. The reversal of 360981504 is 405189063.

360981504 is a `hidden beast` number, since 3 + 60 + 98 + 1 + 504 = 666.

360981504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2755519 + ... + 2755649.

It is an arithmetic number, because the mean of its divisors is an integer number (4470648).

Almost surely, 2^360981504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360981504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590125536).

360981504 is an abundant number, since it is smaller than the sum of its proper divisors (819269568).

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

360981504 is a wasteful number, since it uses less digits than its factorization.

360981504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 360981504 is about 18999.5132569232. The cubic root of 360981504 is about 712.0245751733.

The spelling of 360981504 in words is "three hundred sixty million, nine hundred eighty-one thousand, five hundred four".