501146640 has 120 divisors (see below), whose sum is σ = 1689688728. Its totient is φ = 133109760.

The previous prime is 501146627. The next prime is 501146671. The reversal of 501146640 is 46641105.

501146640 is a `hidden beast` number, since 5 + 0 + 1 + 14 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80568576 + 420578064 = 8976^2 + 20508^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×501146640² = 502295909566579200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201082 + ... + 203558.

Almost surely, 2^501146640 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 501146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844844364).

501146640 is an abundant number, since it is smaller than the sum of its proper divisors (1188542088).

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

501146640 is a wasteful number, since it uses less digits than its factorization.

501146640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 501146640 is about 22386.3047419622. The cubic root of 501146640 is about 794.3067886241.

Adding to 501146640 its reverse (46641105), we get a palindrome (547787745).

The spelling of 501146640 in words is "five hundred one million, one hundred forty-six thousand, six hundred forty".