511204320 has 288 divisors, whose sum is σ = 1938867840. Its totient is φ = 121605120.

The previous prime is 511204307. The next prime is 511204357. The reversal of 511204320 is 23402115.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×511204320² = 522659713573324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 511204293 and 511204302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 934287 + ... + 934833.

It is an arithmetic number, because the mean of its divisors is an integer number (6732180).

Almost surely, 2^511204320 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 511204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969433920).

511204320 is an abundant number, since it is smaller than the sum of its proper divisors (1427663520).

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

511204320 is a wasteful number, since it uses less digits than its factorization.

511204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 511204320 is about 22609.8279515789. The cubic root of 511204320 is about 799.5853684713.

Adding to 511204320 its reverse (23402115), we get a palindrome (534606435).

The spelling of 511204320 in words is "five hundred eleven million, two hundred four thousand, three hundred twenty".