366485760 has 216 divisors, whose sum is σ = 1312922520. Its totient is φ = 94273536.

The previous prime is 366485729. The next prime is 366485767. The reversal of 366485760 is 67584663.

366485760 is a `hidden beast` number, since 36 + 6 + 48 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17842176 + 348643584 = 4224^2 + 18672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (366485767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333532 + ... + 334628.

It is an arithmetic number, because the mean of its divisors is an integer number (6078345).

Almost surely, 2^366485760 is an apocalyptic number.

366485760 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 366485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656461260).

366485760 is an abundant number, since it is smaller than the sum of its proper divisors (946436760).

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

366485760 is a wasteful number, since it uses less digits than its factorization.

366485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 366485760 is about 19143.8178010553. The cubic root of 366485760 is about 715.6253254386.

The spelling of 366485760 in words is "three hundred sixty-six million, four hundred eighty-five thousand, seven hundred sixty".