361417360 has 40 divisors (see below), whose sum is σ = 841805496. Its totient is φ = 144307200.

The previous prime is 361417333. The next prime is 361417391. The reversal of 361417360 is 63714163.

361417360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 176783616 + 184633744 = 13296^2 + 13588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44322 + ... + 51838.

Almost surely, 2^361417360 is an apocalyptic number.

It is an amenable number.

361417360 is an abundant number, since it is smaller than the sum of its proper divisors (480388136).

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

361417360 is a wasteful number, since it uses less digits than its factorization.

361417360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8131 (or 8125 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 361417360 is about 19010.9799852611. The cubic root of 361417360 is about 712.3110306287.

The spelling of 361417360 in words is "three hundred sixty-one million, four hundred seventeen thousand, three hundred sixty".