363324960 has 192 divisors, whose sum is σ = 1313141760. Its totient is φ = 93726720.

The previous prime is 363324953. The next prime is 363324979. The reversal of 363324960 is 69423363.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132564 + ... + 135276.

It is an arithmetic number, because the mean of its divisors is an integer number (6839280).

Almost surely, 2^363324960 is an apocalyptic number.

363324960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656570880).

363324960 is an abundant number, since it is smaller than the sum of its proper divisors (949816800).

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

363324960 is a wasteful number, since it uses less digits than its factorization.

363324960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 363324960 is about 19061.0849638734. The cubic root of 363324960 is about 713.5620504730.

The spelling of 363324960 in words is "three hundred sixty-three million, three hundred twenty-four thousand, nine hundred sixty".