363249168 has 80 divisors (see below), whose sum is σ = 963480000. Its totient is φ = 117891072.

The previous prime is 363249167. The next prime is 363249181. The reversal of 363249168 is 861942363.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (363249167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290208 + ... + 291456.

It is an arithmetic number, because the mean of its divisors is an integer number (12043500).

Almost surely, 2^363249168 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 363249168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481740000).

363249168 is an abundant number, since it is smaller than the sum of its proper divisors (600230832).

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

363249168 is a wasteful number, since it uses less digits than its factorization.

363249168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1410 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 363249168 is about 19059.0967257108. The cubic root of 363249168 is about 713.5124290946.

The spelling of 363249168 in words is "three hundred sixty-three million, two hundred forty-nine thousand, one hundred sixty-eight".