511806480 has 80 divisors (see below), whose sum is σ = 1591933824. Its totient is φ = 136023040.

The previous prime is 511806467. The next prime is 511806481. The reversal of 511806480 is 84608115.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (511806481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71212 + ... + 78068.

Almost surely, 2^511806480 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 511806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795966912).

511806480 is an abundant number, since it is smaller than the sum of its proper divisors (1080127344).

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

511806480 is a wasteful number, since it uses less digits than its factorization.

511806480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7184 (or 7178 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 511806480 is about 22623.1403655638. The cubic root of 511806480 is about 799.8991956320.

The spelling of 511806480 in words is "five hundred eleven million, eight hundred six thousand, four hundred eighty".