363405120 has 224 divisors, whose sum is σ = 1277770368. Its totient is φ = 86925312.

The previous prime is 363405113. The next prime is 363405127. The reversal of 363405120 is 21504363.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (363405113) and next prime (363405127).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363405127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461367 + ... + 462153.

It is an arithmetic number, because the mean of its divisors is an integer number (5704332).

Almost surely, 2^363405120 is an apocalyptic number.

363405120 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 363405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638885184).

363405120 is an abundant number, since it is smaller than the sum of its proper divisors (914365248).

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

363405120 is a wasteful number, since it uses less digits than its factorization.

363405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 847 counting only the distinct ones).

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

The square root of 363405120 is about 19063.1875613707. The cubic root of 363405120 is about 713.6145240932.

Adding to 363405120 its reverse (21504363), we get a palindrome (384909483).

The spelling of 363405120 in words is "three hundred sixty-three million, four hundred five thousand, one hundred twenty".