501132800 has 360 divisors, whose sum is σ = 1561801824. Its totient is φ = 158269440.

The previous prime is 501132713. The next prime is 501132803. The reversal of 501132800 is 8231105.

It is a super-2 number, since 2×501132800² = 502268166471680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501132803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10662377 + ... + 10662423.

Almost surely, 2^501132800 is an apocalyptic number.

501132800 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 501132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780900912).

501132800 is an abundant number, since it is smaller than the sum of its proper divisors (1060669024).

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

501132800 is a wasteful number, since it uses less digits than its factorization.

501132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 501132800 is about 22385.9956222635. The cubic root of 501132800 is about 794.2994765214.

Adding to 501132800 its reverse (8231105), we get a palindrome (509363905).

The spelling of 501132800 in words is "five hundred one million, one hundred thirty-two thousand, eight hundred".