360552416 has 96 divisors (see below), whose sum is σ = 865105920. Its totient is φ = 144562176.

The previous prime is 360552403. The next prime is 360552431. The reversal of 360552416 is 614255063.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241400 + ... + 242888.

It is an arithmetic number, because the mean of its divisors is an integer number (9011520).

Almost surely, 2^360552416 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 360552416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432552960).

360552416 is an abundant number, since it is smaller than the sum of its proper divisors (504553504).

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

360552416 is a wasteful number, since it uses less digits than its factorization.

360552416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 360552416 is about 18988.2178205328. The cubic root of 360552416 is about 711.7423424899.

The spelling of 360552416 in words is "three hundred sixty million, five hundred fifty-two thousand, four hundred sixteen".