360278361 has 63 divisors (see below), whose sum is σ = 585921231. Its totient is φ = 221394384.

The previous prime is 360278341. The next prime is 360278389. The reversal of 360278361 is 163872063.

It is a happy number.

The square root of 360278361 is 18981.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 322382025 + 37896336 = 17955^2 + 6156^2 .

It is not a de Polignac number, because 360278361 - 2¹¹ = 360276313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (360278341) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 9737235 + ... + 9737271.

It is an arithmetic number, because the mean of its divisors is an integer number (9300337).

Almost surely, 2^360278361 is an apocalyptic number.

360278361 is the 18981-st square number.

360278361 is the 9491-st centered octagonal number.

It is an amenable number.

360278361 is a deficient number, since it is larger than the sum of its proper divisors (225642870).

360278361 is an frugal number, since it uses more digits than its factorization.

360278361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The cubic root of 360278361 is about 711.5619655826.

Multiplying 360278361 by its sum of digits (36), we get a square (12970020996 = 113886²).

The spelling of 360278361 in words is "three hundred sixty million, two hundred seventy-eight thousand, three hundred sixty-one".