360756480 has 144 divisors (see below), whose sum is σ = 1316859264. Its totient is φ = 82452480.

The previous prime is 360756479. The next prime is 360756481. The reversal of 360756480 is 84657063.

It is an interprime number because it is at equal distance from previous prime (360756479) and next prime (360756481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360756481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20170 + ... + 33590.

It is an arithmetic number, because the mean of its divisors is an integer number (9144856).

Almost surely, 2^360756480 is an apocalyptic number.

360756480 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 360756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658429632).

360756480 is an abundant number, since it is smaller than the sum of its proper divisors (956102784).

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

360756480 is a wasteful number, since it uses less digits than its factorization.

360756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13452 (or 13438 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 360756480 is about 18993.5904978495. The cubic root of 360756480 is about 711.8765935175.

The spelling of 360756480 in words is "three hundred sixty million, seven hundred fifty-six thousand, four hundred eighty".