518227920 has 360 divisors, whose sum is σ = 2084480424. Its totient is φ = 114960384.

The previous prime is 518227909. The next prime is 518227921. The reversal of 518227920 is 29722815.

It can be written as a sum of positive squares in 4 ways, for example, as 182898576 + 335329344 = 13524^2 + 18312^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518227921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1305162 + ... + 1305558.

Almost surely, 2^518227920 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 518227920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042240212).

518227920 is an abundant number, since it is smaller than the sum of its proper divisors (1566252504).

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

518227920 is a wasteful number, since it uses less digits than its factorization.

518227920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 518227920 is about 22764.6199177583. The cubic root of 518227920 is about 803.2306444423.

The spelling of 518227920 in words is "five hundred eighteen million, two hundred twenty-seven thousand, nine hundred twenty".