511304420 has 48 divisors (see below), whose sum is σ = 1183000896. Its totient is φ = 184080000.

The previous prime is 511304419. The next prime is 511304429. The reversal of 511304420 is 24403115.

It is a super-3 number, since 3×511304420³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 511304392 and 511304401.

It is not an unprimeable number, because it can be changed into a prime (511304429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10715 + ... + 33725.

It is an arithmetic number, because the mean of its divisors is an integer number (24645852).

Almost surely, 2^511304420 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 511304420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591500448).

511304420 is an abundant number, since it is smaller than the sum of its proper divisors (671696476).

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

511304420 is a wasteful number, since it uses less digits than its factorization.

511304420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23132 (or 23130 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 511304420 is about 22612.0414823607. The cubic root of 511304420 is about 799.6375545664.

Adding to 511304420 its reverse (24403115), we get a palindrome (535707535).

The spelling of 511304420 in words is "five hundred eleven million, three hundred four thousand, four hundred twenty".