501880320 has 320 divisors, whose sum is σ = 1829615040. Its totient is φ = 130351104.

The previous prime is 501880319. The next prime is 501880339. The reversal of 501880320 is 23088105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3663292 + ... + 3663428.

It is an arithmetic number, because the mean of its divisors is an integer number (5717547).

Almost surely, 2^501880320 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 501880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914807520).

501880320 is an abundant number, since it is smaller than the sum of its proper divisors (1327734720).

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

501880320 is a wasteful number, since it uses less digits than its factorization.

501880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 501880320 is about 22402.6855532992. The cubic root of 501880320 is about 794.6942220274.

The spelling of 501880320 in words is "five hundred one million, eight hundred eighty thousand, three hundred twenty".