361473120 has 144 divisors (see below), whose sum is σ = 1241512272. Its totient is φ = 95769600.

The previous prime is 361473067. The next prime is 361473121. The reversal of 361473120 is 21374163.

361473120 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 (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361473121) 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, 248395 + ... + 249845.

It is an arithmetic number, because the mean of its divisors is an integer number (8621613).

Almost surely, 2^361473120 is an apocalyptic number.

361473120 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 361473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620756136).

361473120 is an abundant number, since it is smaller than the sum of its proper divisors (880039152).

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

361473120 is a wasteful number, since it uses less digits than its factorization.

361473120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 361473120 is about 19012.4464496287. The cubic root of 361473120 is about 712.3476608749.

The spelling of 361473120 in words is "three hundred sixty-one million, four hundred seventy-three thousand, one hundred twenty".