511672320 has 192 divisors, whose sum is σ = 1778882040. Its totient is φ = 136052736.

The previous prime is 511672313. The next prime is 511672321. The reversal of 511672320 is 23276115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511672321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1474387 + ... + 1474733.

Almost surely, 2^511672320 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 511672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889441020).

511672320 is an abundant number, since it is smaller than the sum of its proper divisors (1267209720).

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

511672320 is an equidigital number, since it uses as much as digits as its factorization.

511672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 511672320 is about 22620.1750656355. The cubic root of 511672320 is about 799.8292969115.

The spelling of 511672320 in words is "five hundred eleven million, six hundred seventy-two thousand, three hundred twenty".