360515040 has 96 divisors (see below), whose sum is σ = 1139062176. Its totient is φ = 95846400.

The previous prime is 360515011. The next prime is 360515083. The reversal of 360515040 is 40515063.

360515040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 360515040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191544 + ... + 193416.

It is an arithmetic number, because the mean of its divisors is an integer number (11865231).

Almost surely, 2^360515040 is an apocalyptic number.

360515040 is a gapful number since it is divisible by the number (30) 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 360515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569531088).

360515040 is an abundant number, since it is smaller than the sum of its proper divisors (778547136).

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

360515040 is a wasteful number, since it uses less digits than its factorization.

360515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 360515040 is about 18987.2336057679. The cubic root of 360515040 is about 711.7177478218.

The spelling of 360515040 in words is "three hundred sixty million, five hundred fifteen thousand, forty".