361559952 has 180 divisors, whose sum is σ = 1115084880. Its totient is φ = 109294848.

The previous prime is 361559929. The next prime is 361559969. The reversal of 361559952 is 259955163.

361559952 is a `hidden beast` number, since 3 + 6 + 1 + 5 + 599 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 361559898 and 361559907.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2019799 + ... + 2019977.

It is an arithmetic number, because the mean of its divisors is an integer number (6194916).

Almost surely, 2^361559952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361559952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557542440).

361559952 is an abundant number, since it is smaller than the sum of its proper divisors (753524928).

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

361559952 is a wasteful number, since it uses less digits than its factorization.

361559952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its digits is 364500, while the sum is 45.

The square root of 361559952 is about 19014.7298692356. The cubic root of 361559952 is about 712.4046956552.

The spelling of 361559952 in words is "three hundred sixty-one million, five hundred fifty-nine thousand, nine hundred fifty-two".