510461152 has 48 divisors (see below), whose sum is σ = 1034586000. Its totient is φ = 247772160.

The previous prime is 510461143. The next prime is 510461167. The reversal of 510461152 is 251164015.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 299599 + ... + 301297.

It is an arithmetic number, because the mean of its divisors is an integer number (21553875).

Almost surely, 2^510461152 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 510461152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517293000).

510461152 is an abundant number, since it is smaller than the sum of its proper divisors (524124848).

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

510461152 is a wasteful number, since it uses less digits than its factorization.

510461152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 510461152 is about 22593.3873511698. The cubic root of 510461152 is about 799.1977123538.

The spelling of 510461152 in words is "five hundred ten million, four hundred sixty-one thousand, one hundred fifty-two".