501791040 has 336 divisors, whose sum is σ = 1883645712. Its totient is φ = 122093568.

The previous prime is 501791039. The next prime is 501791041. The reversal of 501791040 is 40197105.

It is an interprime number because it is at equal distance from previous prime (501791039) and next prime (501791041).

It can be written as a sum of positive squares in 8 ways, for example, as 7884864 + 493906176 = 2808^2 + 22224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 501790995 and 501791013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501791041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1811382 + ... + 1811658.

Almost surely, 2^501791040 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 501791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941822856).

501791040 is an abundant number, since it is smaller than the sum of its proper divisors (1381854672).

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

501791040 is a wasteful number, since it uses less digits than its factorization.

501791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 501791040 is about 22400.6928464278. The cubic root of 501791040 is about 794.6470962454.

The spelling of 501791040 in words is "five hundred one million, seven hundred ninety-one thousand, forty".