510661440 has 168 divisors, whose sum is σ = 1766319048. Its totient is φ = 135413760.

The previous prime is 510661409. The next prime is 510661469. The reversal of 510661440 is 44166015.

510661440 is a `hidden beast` number, since 5 + 1 + 0 + 6 + 614 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21013056 + 489648384 = 4584^2 + 22128^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670660 + ... + 671420.

Almost surely, 2^510661440 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 510661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883159524).

510661440 is an abundant number, since it is smaller than the sum of its proper divisors (1255657608).

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

510661440 is a wasteful number, since it uses less digits than its factorization.

510661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1004 counting only the distinct ones).

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

The square root of 510661440 is about 22597.8193638236. The cubic root of 510661440 is about 799.3022248977.

The spelling of 510661440 in words is "five hundred ten million, six hundred sixty-one thousand, four hundred forty".