509119380 has 288 divisors, whose sum is σ = 1948826880. Its totient is φ = 104509440.

The previous prime is 509119363. The next prime is 509119393. The reversal of 509119380 is 83911905.

It is a happy number.

509119380 is a `hidden beast` number, since 509 + 119 + 38 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1510572 + ... + 1510908.

It is an arithmetic number, because the mean of its divisors is an integer number (6766760).

Almost surely, 2^509119380 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 509119380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974413440).

509119380 is an abundant number, since it is smaller than the sum of its proper divisors (1439707500).

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

509119380 is a wasteful number, since it uses less digits than its factorization.

509119380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 509119380 is about 22563.6739029795. The cubic root of 509119380 is about 798.4968545444.

The spelling of 509119380 in words is "five hundred nine million, one hundred nineteen thousand, three hundred eighty".