366480 has 60 divisors (see below), whose sum is σ = 1233180. Its totient is φ = 97536.

The previous prime is 366479. The next prime is 366497. The reversal of 366480 is 84663.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 147456 = 468^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 366480.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (20553).

2³⁶⁶⁴⁸⁰ is an apocalyptic number.

366480 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 366480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616590).

366480 is an abundant number, since it is smaller than the sum of its proper divisors (866700).

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

366480 is a wasteful number, since it uses less digits than its factorization.

366480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 366480 is about 605.3759162702. The cubic root of 366480 is about 71.5621576295.

The spelling of 366480 in words is "three hundred sixty-six thousand, four hundred eighty".