518419872 has 96 divisors (see below), whose sum is σ = 1522584000. Its totient is φ = 171604224.

The previous prime is 518419861. The next prime is 518419873. The reversal of 518419872 is 278914815.

518419872 is a `hidden beast` number, since 518 + 41 + 98 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×518419872³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (518419873) 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, 126723 + ... + 130749.

It is an arithmetic number, because the mean of its divisors is an integer number (15860250).

Almost surely, 2^518419872 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 518419872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761292000).

518419872 is an abundant number, since it is smaller than the sum of its proper divisors (1004164128).

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

518419872 is a wasteful number, since it uses less digits than its factorization.

518419872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195 (or 4181 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 518419872 is about 22768.8355433474. The cubic root of 518419872 is about 803.3298046060.

The spelling of 518419872 in words is "five hundred eighteen million, four hundred nineteen thousand, eight hundred seventy-two".