501057792 has 144 divisors (see below), whose sum is σ = 1504056960. Its totient is φ = 164505600.

The previous prime is 501057787. The next prime is 501057793. The reversal of 501057792 is 297750105.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (501057793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490242 + ... + 491262.

It is an arithmetic number, because the mean of its divisors is an integer number (10444840).

Almost surely, 2^501057792 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 501057792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752028480).

501057792 is an abundant number, since it is smaller than the sum of its proper divisors (1002999168).

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

501057792 is a wasteful number, since it uses less digits than its factorization.

501057792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 501057792 is about 22384.3202264442. The cubic root of 501057792 is about 794.2598451183.

The spelling of 501057792 in words is "five hundred one million, fifty-seven thousand, seven hundred ninety-two".