519204980 has 72 divisors (see below), whose sum is σ = 1312151400. Its totient is φ = 171865344.

The previous prime is 519204901. The next prime is 519204991. The reversal of 519204980 is 89402915.

It can be written as a sum of positive squares in 4 ways, for example, as 97970404 + 421234576 = 9898^2 + 20524^2 .

It is a super-2 number, since 2×519204980² = 539147622513600800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19286 + ... + 37554.

It is an arithmetic number, because the mean of its divisors is an integer number (18224325).

Almost surely, 2^519204980 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 519204980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656075700).

519204980 is an abundant number, since it is smaller than the sum of its proper divisors (792946420).

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

519204980 is a wasteful number, since it uses less digits than its factorization.

519204980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18321 (or 18312 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 519204980 is about 22786.0698673554. The cubic root of 519204980 is about 803.7351276366.

The spelling of 519204980 in words is "five hundred nineteen million, two hundred four thousand, nine hundred eighty".