361461360 has 80 divisors (see below), whose sum is σ = 1206735264. Its totient is φ = 88974336.

The previous prime is 361461343. The next prime is 361461379. The reversal of 361461360 is 63164163.

361461360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54807 + ... + 61046.

Almost surely, 2^361461360 is an apocalyptic number.

361461360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361461360 is an abundant number, since it is smaller than the sum of its proper divisors (845273904).

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

361461360 is a wasteful number, since it uses less digits than its factorization.

361461360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115882 (or 115876 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 361461360 is about 19012.1371760252. The cubic root of 361461360 is about 712.3399357276.

The spelling of 361461360 in words is "three hundred sixty-one million, four hundred sixty-one thousand, three hundred sixty".