501940800 has 252 divisors, whose sum is σ = 1851523856. Its totient is φ = 133747200.

The previous prime is 501940781. The next prime is 501940837. The reversal of 501940800 is 8049105.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388155 + ... + 389445.

Almost surely, 2^501940800 is an apocalyptic number.

501940800 is a gapful number since it is divisible by the number (50) 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 501940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925761928).

501940800 is an abundant number, since it is smaller than the sum of its proper divisors (1349583056).

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

501940800 is a wasteful number, since it uses less digits than its factorization.

501940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 501940800 is about 22404.0353508023. The cubic root of 501940800 is about 794.7261427690.

Adding to 501940800 its reverse (8049105), we get a palindrome (509989905).

The spelling of 501940800 in words is "five hundred one million, nine hundred forty thousand, eight hundred".