361504 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 149760.

The previous prime is 361499. The next prime is 361507. The reversal of 361504 is 405163.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (361507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4537 + ... + 4615.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2³⁶¹⁵⁰⁴ 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 361504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

361504 is an abundant number, since it is smaller than the sum of its proper divisors (485216).

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

361504 is a wasteful number, since it uses less digits than its factorization.

361504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 361504 is about 601.2520270236. The cubic root of 361504 is about 71.2367945158.

Adding to 361504 its reverse (405163), we get a palindrome (766667).

It can be divided in two parts, 36 and 1504, that added together give a triangular number (1540 = T₅₅).

The spelling of 361504 in words is "three hundred sixty-one thousand, five hundred four".