511460640 has 216 divisors, whose sum is σ = 1855575540. Its totient is φ = 128262144.

The previous prime is 511460633. The next prime is 511460671. The reversal of 511460640 is 46064115.

511460640 is a `hidden beast` number, since 5 + 1 + 14 + 6 + 0 + 640 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 485937936 + 25522704 = 22044^2 + 5052^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 415546 + ... + 416774.

Almost surely, 2^511460640 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 511460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927787770).

511460640 is an abundant number, since it is smaller than the sum of its proper divisors (1344114900).

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

511460640 is a wasteful number, since it uses less digits than its factorization.

511460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1256 counting only the distinct ones).

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

The square root of 511460640 is about 22615.4955727262. The cubic root of 511460640 is about 799.7189846328.

The spelling of 511460640 in words is "five hundred eleven million, four hundred sixty thousand, six hundred forty".