363780480 has 128 divisors (see below), whose sum is σ = 1325249280. Its totient is φ = 83146752.

The previous prime is 363780457. The next prime is 363780491. The reversal of 363780480 is 84087363.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94 + ... + 26973.

It is an arithmetic number, because the mean of its divisors is an integer number (10353510).

Almost surely, 2^363780480 is an apocalyptic number.

363780480 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 363780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662624640).

363780480 is an abundant number, since it is smaller than the sum of its proper divisors (961468800).

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

363780480 is a wasteful number, since it uses less digits than its factorization.

363780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27096 (or 27084 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 363780480 is about 19073.0301735199. The cubic root of 363780480 is about 713.8601362775.

The spelling of 363780480 in words is "three hundred sixty-three million, seven hundred eighty thousand, four hundred eighty".