360214848 has 168 divisors, whose sum is σ = 1209324480. Its totient is φ = 100362240.

The previous prime is 360214843. The next prime is 360214849. The reversal of 360214848 is 848412063.

360214848 is a `hidden beast` number, since 3 + 602 + 1 + 4 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360214843) 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, 164223 + ... + 166401.

It is an arithmetic number, because the mean of its divisors is an integer number (7198360).

Almost surely, 2^360214848 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 360214848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604662240).

360214848 is an abundant number, since it is smaller than the sum of its proper divisors (849109632).

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

360214848 is a wasteful number, since it uses less digits than its factorization.

360214848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 360214848 is about 18979.3268584531. The cubic root of 360214848 is about 711.5201496832.

The spelling of 360214848 in words is "three hundred sixty million, two hundred fourteen thousand, eight hundred forty-eight".