519980400 has 90 divisors (see below), whose sum is σ = 1804488920. Its totient is φ = 138660480.

The previous prime is 519980371. The next prime is 519980401. The reversal of 519980400 is 4089915.

It is a tau number, because it is divible by the number of its divisors (90).

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 (519980401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68620 + ... + 75819.

Almost surely, 2^519980400 is an apocalyptic number.

519980400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

519980400 is an abundant number, since it is smaller than the sum of its proper divisors (1284508520).

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

519980400 is a wasteful number, since it uses less digits than its factorization.

519980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144463 (or 144449 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 519980400 is about 22803.0787395036. The cubic root of 519980400 is about 804.1350482287.

The spelling of 519980400 in words is "five hundred nineteen million, nine hundred eighty thousand, four hundred".