510466120 has 64 divisors (see below), whose sum is σ = 1200193200. Its totient is φ = 195148800.

The previous prime is 510466109. The next prime is 510466129. The reversal of 510466120 is 21664015.

It can be written as a sum of positive squares in 8 ways, for example, as 495240516 + 15225604 = 22254^2 + 3902^2 .

It is not an unprimeable number, because it can be changed into a prime (510466129) by changing a digit.

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, 114982 + ... + 119338.

Almost surely, 2^510466120 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 510466120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600096600).

510466120 is an abundant number, since it is smaller than the sum of its proper divisors (689727080).

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

510466120 is a wasteful number, since it uses less digits than its factorization.

510466120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 510466120 is about 22593.4972945757. The cubic root of 510466120 is about 799.2003050430.

The spelling of 510466120 in words is "five hundred ten million, four hundred sixty-six thousand, one hundred twenty".