511664400 has 405 divisors, whose sum is σ = 1991296749. Its totient is φ = 121605120.

The previous prime is 511664383. The next prime is 511664407. The reversal of 511664400 is 4466115.

The square root of 511664400 is 22620.

It is a perfect power (a square), and thus also a powerful number.

511664400 is a `hidden beast` number, since 5 + 1 + 16 + 644 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 473323536 + 38340864 = 21756^2 + 6192^2 .

It is not an unprimeable number, because it can be changed into a prime (511664407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17643586 + ... + 17643614.

Almost surely, 2^511664400 is an apocalyptic number.

511664400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

511664400 is the 22620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511664400

511664400 is an abundant number, since it is smaller than the sum of its proper divisors (1479632349).

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

511664400 is a wasteful number, since it uses less digits than its factorization.

511664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 52 counting only the distinct ones).

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

The cubic root of 511664400 is about 799.8251701293.

The spelling of 511664400 in words is "five hundred eleven million, six hundred sixty-four thousand, four hundred".