363045480 has 128 divisors (see below), whose sum is σ = 1278478080. Its totient is φ = 80732160.

The previous prime is 363045427. The next prime is 363045481. The reversal of 363045480 is 84540363.

It is a super-3 number, since 3×363045480³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (363045481) 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, 25240 + ... + 36920.

It is an arithmetic number, because the mean of its divisors is an integer number (9988110).

Almost surely, 2^363045480 is an apocalyptic number.

363045480 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 363045480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639239040).

363045480 is an abundant number, since it is smaller than the sum of its proper divisors (915432600).

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

363045480 is a wasteful number, since it uses less digits than its factorization.

363045480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11739 (or 11735 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 363045480 is about 19053.7523863411. The cubic root of 363045480 is about 713.3790393943.

The spelling of 363045480 in words is "three hundred sixty-three million, forty-five thousand, four hundred eighty".