363430080 has 336 divisors, whose sum is σ = 1427890464. Its totient is φ = 84049920.

The previous prime is 363430079. The next prime is 363430087. The reversal of 363430080 is 80034363.

363430080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (363430087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636195 + ... + 636765.

It is an arithmetic number, because the mean of its divisors is an integer number (4249674).

Almost surely, 2^363430080 is an apocalyptic number.

363430080 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 363430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713945232).

363430080 is an abundant number, since it is smaller than the sum of its proper divisors (1064460384).

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

363430080 is a wasteful number, since it uses less digits than its factorization.

363430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 363430080 is about 19063.8422150415. The cubic root of 363430080 is about 713.6308616091.

The spelling of 363430080 in words is "three hundred sixty-three million, four hundred thirty thousand, eighty".