361248320 has 28 divisors (see below), whose sum is σ = 860223324. Its totient is φ = 144499200.

The previous prime is 361248319. The next prime is 361248343. The reversal of 361248320 is 23842163.

It can be written as a sum of positive squares in 2 ways, for example, as 251920384 + 109327936 = 15872^2 + 10456^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 564131 + ... + 564770.

Almost surely, 2^361248320 is an apocalyptic number.

It is an amenable number.

361248320 is an abundant number, since it is smaller than the sum of its proper divisors (498975004).

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

361248320 is a wasteful number, since it uses less digits than its factorization.

361248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128918 (or 1128908 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 361248320 is about 19006.5336134709. The cubic root of 361248320 is about 712.1999606700.

It can be divided in two parts, 36124 and 8320, that added together give a palindrome (44444).

The spelling of 361248320 in words is "three hundred sixty-one million, two hundred forty-eight thousand, three hundred twenty".