360456 has 32 divisors (see below), whose sum is σ = 941760. Its totient is φ = 114752.

The previous prime is 360439. The next prime is 360457. The reversal of 360456 is 654063.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (360457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226 + ... + 878.

It is an arithmetic number, because the mean of its divisors is an integer number (29430).

2³⁶⁰⁴⁵⁶ 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 360456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470880).

360456 is an abundant number, since it is smaller than the sum of its proper divisors (581304).

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

360456 is a wasteful number, since it uses less digits than its factorization.

360456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 360456 is about 600.3798797428. The cubic root of 360456 is about 71.1678894048.

The spelling of 360456 in words is "three hundred sixty thousand, four hundred fifty-six".