511243040 has 192 divisors, whose sum is σ = 1595075328. Its totient is φ = 149913600.

The previous prime is 511243021. The next prime is 511243087. The reversal of 511243040 is 40342115.

It is a super-2 number, since 2×511243040² = 522738891896883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208220 + ... + 210660.

It is an arithmetic number, because the mean of its divisors is an integer number (8307684).

Almost surely, 2^511243040 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 511243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797537664).

511243040 is an abundant number, since it is smaller than the sum of its proper divisors (1083832288).

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

511243040 is a wasteful number, since it uses less digits than its factorization.

511243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 511243040 is about 22610.6842001740. The cubic root of 511243040 is about 799.6055555489.

Adding to 511243040 its reverse (40342115), we get a palindrome (551585155).

The spelling of 511243040 in words is "five hundred eleven million, two hundred forty-three thousand, forty".