516604480 has 112 divisors (see below), whose sum is σ = 1415344896. Its totient is φ = 175933440.

The previous prime is 516604447. The next prime is 516604489. The reversal of 516604480 is 84406615.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (516604489) 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, 373390 + ... + 374770.

It is an arithmetic number, because the mean of its divisors is an integer number (12637008).

Almost surely, 2^516604480 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 516604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707672448).

516604480 is an abundant number, since it is smaller than the sum of its proper divisors (898740416).

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

516604480 is a wasteful number, since it uses less digits than its factorization.

516604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 516604480 is about 22728.9348628571. The cubic root of 516604480 is about 802.3910133661.

The spelling of 516604480 in words is "five hundred sixteen million, six hundred four thousand, four hundred eighty".