360406368 has 144 divisors (see below), whose sum is σ = 1222950960. Its totient is φ = 102961152.

The previous prime is 360406363. The next prime is 360406379. The reversal of 360406368 is 863604063.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360406363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38080 + ... + 46592.

It is an arithmetic number, because the mean of its divisors is an integer number (8492715).

Almost surely, 2^360406368 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 360406368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611475480).

360406368 is an abundant number, since it is smaller than the sum of its proper divisors (862544592).

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

360406368 is a wasteful number, since it uses less digits than its factorization.

360406368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8546 (or 8525 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 360406368 is about 18984.3716777775. The cubic root of 360406368 is about 711.6462283240.

The spelling of 360406368 in words is "three hundred sixty million, four hundred six thousand, three hundred sixty-eight".