363348480 has 480 divisors, whose sum is σ = 1410659712. Its totient is φ = 79298560.

The previous prime is 363348451. The next prime is 363348481. The reversal of 363348480 is 84843363.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (363348481) 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, 15797749 + ... + 15797771.

Almost surely, 2^363348480 is an apocalyptic number.

363348480 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 363348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705329856).

363348480 is an abundant number, since it is smaller than the sum of its proper divisors (1047311232).

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

363348480 is a wasteful number, since it uses less digits than its factorization.

363348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 363348480 is about 19061.7019177197. The cubic root of 363348480 is about 713.5774477245.

It can be divided in two parts, 363 and 348480, that added together give a palindrome (348843).

The spelling of 363348480 in words is "three hundred sixty-three million, three hundred forty-eight thousand, four hundred eighty".