501296040 has 480 divisors, whose sum is σ = 2076243840. Its totient is φ = 106064640.

The previous prime is 501295999. The next prime is 501296069. The reversal of 501296040 is 40692105.

501296040 is a `hidden beast` number, since 50 + 1 + 2 + 9 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 501295995 and 501296013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16170825 + ... + 16170855.

It is an arithmetic number, because the mean of its divisors is an integer number (4325508).

Almost surely, 2^501296040 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 501296040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038121920).

501296040 is an abundant number, since it is smaller than the sum of its proper divisors (1574947800).

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

501296040 is a wasteful number, since it uses less digits than its factorization.

501296040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 501296040 is about 22389.6413548766. The cubic root of 501296040 is about 794.3857127249.

It can be divided in two parts, 50129 and 6040, that added together give a square (56169 = 237²).

The spelling of 501296040 in words is "five hundred one million, two hundred ninety-six thousand, forty".