361488 has 40 divisors (see below), whose sum is σ = 991008. Its totient is φ = 113152.

The previous prime is 361481. The next prime is 361499. The reversal of 361488 is 884163.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361488.

It is not an unprimeable number, because it can be changed into a prime (361481) 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, 595 + ... + 1037.

2³⁶¹⁴⁸⁸ 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 361488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495504).

361488 is an abundant number, since it is smaller than the sum of its proper divisors (629520).

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

361488 is a wasteful number, since it uses less digits than its factorization.

361488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 361488 is about 601.2387213079. The cubic root of 361488 is about 71.2357435311.

The spelling of 361488 in words is "three hundred sixty-one thousand, four hundred eighty-eight".