509969376 has 144 divisors (see below), whose sum is σ = 1670917248. Its totient is φ = 144518400.

The previous prime is 509969371. The next prime is 509969381. The reversal of 509969376 is 673969905.

509969376 is a `hidden beast` number, since 509 + 9 + 69 + 3 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (509969371) and next prime (509969381).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509969371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263131 + ... + 265061.

It is an arithmetic number, because the mean of its divisors is an integer number (11603592).

Almost surely, 2^509969376 is an apocalyptic number.

509969376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509969376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835458624).

509969376 is an abundant number, since it is smaller than the sum of its proper divisors (1160947872).

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

509969376 is a wasteful number, since it uses less digits than its factorization.

509969376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 509969376 is about 22582.5015443374. The cubic root of 509969376 is about 798.9409820532.

The spelling of 509969376 in words is "five hundred nine million, nine hundred sixty-nine thousand, three hundred seventy-six".