363009920 has 256 divisors, whose sum is σ = 1118638080. Its totient is φ = 109486080.

The previous prime is 363009917. The next prime is 363009931. The reversal of 363009920 is 29900363.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1339385 + ... + 1339655.

It is an arithmetic number, because the mean of its divisors is an integer number (4369680).

Almost surely, 2^363009920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559319040).

363009920 is an abundant number, since it is smaller than the sum of its proper divisors (755628160).

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

363009920 is a wasteful number, since it uses less digits than its factorization.

363009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 363009920 is about 19052.8192139641. The cubic root of 363009920 is about 713.3557470078.

The spelling of 363009920 in words is "three hundred sixty-three million, nine thousand, nine hundred twenty".