501720720 has 80 divisors (see below), whose sum is σ = 1558269312. Its totient is φ = 133539840.

The previous prime is 501720691. The next prime is 501720721. The reversal of 501720720 is 27027105.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (501720721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149784 + ... + 153096.

Almost surely, 2^501720720 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 501720720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779134656).

501720720 is an abundant number, since it is smaller than the sum of its proper divisors (1056548592).

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

501720720 is a wasteful number, since it uses less digits than its factorization.

501720720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 501720720 is about 22399.1231971254. The cubic root of 501720720 is about 794.6099744226.

Adding to 501720720 its reverse (27027105), we get a palindrome (528747825).

The spelling of 501720720 in words is "five hundred one million, seven hundred twenty thousand, seven hundred twenty".