360480 has 48 divisors (see below), whose sum is σ = 1137024. Its totient is φ = 96000.

The previous prime is 360461. The next prime is 360497. The reversal of 360480 is 84063.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

360480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (23688).

2³⁶⁰⁴⁸⁰ is an apocalyptic number.

360480 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 360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568512).

360480 is an abundant number, since it is smaller than the sum of its proper divisors (776544).

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

360480 is a wasteful number, since it uses less digits than its factorization.

360480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 360480 is about 600.3998667555. The cubic root of 360480 is about 71.1694688776.

The spelling of 360480 in words is "three hundred sixty thousand, four hundred eighty".