363982080 has 288 divisors, whose sum is σ = 1450487808. Its totient is φ = 75571200.

The previous prime is 363982079. The next prime is 363982081. The reversal of 363982080 is 80289363.

It is an interprime number because it is at equal distance from previous prime (363982079) and next prime (363982081).

It is a super-2 number, since 2×363982080² = 264965909122252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363982081) 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, 295065 + ... + 296295.

It is an arithmetic number, because the mean of its divisors is an integer number (5036416).

Almost surely, 2^363982080 is an apocalyptic number.

363982080 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 363982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725243904).

363982080 is an abundant number, since it is smaller than the sum of its proper divisors (1086505728).

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

363982080 is a wasteful number, since it uses less digits than its factorization.

363982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 363982080 is about 19078.3143909518. The cubic root of 363982080 is about 713.9919810161.

The spelling of 363982080 in words is "three hundred sixty-three million, nine hundred eighty-two thousand, eighty".