509050984 has 48 divisors (see below), whose sum is σ = 1055661120. Its totient is φ = 229919040.

The previous prime is 509050967. The next prime is 509050987. The reversal of 509050984 is 489050905.

It is a super-2 number, since 2×509050984² = 518265808622736512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (509050987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59539 + ... + 67549.

It is an arithmetic number, because the mean of its divisors is an integer number (21992940).

Almost surely, 2^509050984 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 509050984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527830560).

509050984 is an abundant number, since it is smaller than the sum of its proper divisors (546610136).

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

509050984 is a wasteful number, since it uses less digits than its factorization.

509050984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8090 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 509050984 is about 22562.1582300985. The cubic root of 509050984 is about 798.4610957821.

The spelling of 509050984 in words is "five hundred nine million, fifty thousand, nine hundred eighty-four".