360780480 has 280 divisors, whose sum is σ = 1327708800. Its totient is φ = 92897280.

The previous prime is 360780467. The next prime is 360780491. The reversal of 360780480 is 84087063.

360780480 is a `hidden beast` number, since 3 + 607 + 8 + 0 + 48 + 0 = 666.

360780480 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 nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 803296 + ... + 803744.

Almost surely, 2^360780480 is an apocalyptic number.

360780480 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 360780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663854400).

360780480 is an abundant number, since it is smaller than the sum of its proper divisors (966928320).

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

360780480 is a wasteful number, since it uses less digits than its factorization.

360780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 360780480 is about 18994.2222794196. Note that the first 4 decimals coincide. The cubic root of 360780480 is about 711.8923794750.

The spelling of 360780480 in words is "three hundred sixty million, seven hundred eighty thousand, four hundred eighty".