510664352 has 96 divisors (see below), whose sum is σ = 1135088640. Its totient is φ = 224167680.

The previous prime is 510664339. The next prime is 510664361. The reversal of 510664352 is 253466015.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 1391273 + ... + 1391639.

It is an arithmetic number, because the mean of its divisors is an integer number (11823840).

Almost surely, 2^510664352 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 510664352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567544320).

510664352 is an abundant number, since it is smaller than the sum of its proper divisors (624424288).

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

510664352 is a wasteful number, since it uses less digits than its factorization.

510664352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 510664352 is about 22597.8837947273. The cubic root of 510664352 is about 799.3037442106.

The spelling of 510664352 in words is "five hundred ten million, six hundred sixty-four thousand, three hundred fifty-two".