360258048 has 120 divisors (see below), whose sum is σ = 1068335268. Its totient is φ = 116785152.

The previous prime is 360258043. The next prime is 360258049. The reversal of 360258048 is 840852063.

360258048 is a `hidden beast` number, since 3 + 602 + 5 + 8 + 0 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 352237824 + 8020224 = 18768^2 + 2832^2 .

It is a super-2 number, since 2×360258048² = 259571722297540608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (360258043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169440 + ... + 171552.

Almost surely, 2^360258048 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 360258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534167634).

360258048 is an abundant number, since it is smaller than the sum of its proper divisors (708077220).

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

360258048 is a wasteful number, since it uses less digits than its factorization.

360258048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 360258048 is about 18980.4649047382. The cubic root of 360258048 is about 711.5485923769.

The spelling of 360258048 in words is "three hundred sixty million, two hundred fifty-eight thousand, forty-eight".