519742080 has 384 divisors, whose sum is σ = 2111840640. Its totient is φ = 116121600.

The previous prime is 519742051. The next prime is 519742103. The reversal of 519742080 is 80247915.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823365 + ... + 823995.

It is an arithmetic number, because the mean of its divisors is an integer number (5499585).

Almost surely, 2^519742080 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 519742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055920320).

519742080 is an abundant number, since it is smaller than the sum of its proper divisors (1592098560).

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

519742080 is a wasteful number, since it uses less digits than its factorization.

519742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

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

The square root of 519742080 is about 22797.8525304468. The cubic root of 519742080 is about 804.0121777319.

Adding to 519742080 its reverse (80247915), we get a palindrome (599989995).

The spelling of 519742080 in words is "five hundred nineteen million, seven hundred forty-two thousand, eighty".