363925120 has 256 divisors, whose sum is σ = 1036385280. Its totient is φ = 120913920.

The previous prime is 363925109. The next prime is 363925123. The reversal of 363925120 is 21529363.

363925120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (363925123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4384599 + ... + 4384681.

It is an arithmetic number, because the mean of its divisors is an integer number (4048380).

Almost surely, 2^363925120 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 363925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518192640).

363925120 is an abundant number, since it is smaller than the sum of its proper divisors (672460160).

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

363925120 is a wasteful number, since it uses less digits than its factorization.

363925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 363925120 is about 19076.8215381913. The cubic root of 363925120 is about 713.9547345809.

The spelling of 363925120 in words is "three hundred sixty-three million, nine hundred twenty-five thousand, one hundred twenty".