509420016 has 200 divisors, whose sum is σ = 1699293024. Its totient is φ = 144322560.

The previous prime is 509419991. The next prime is 509420017. The reversal of 509420016 is 610024905.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509420017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2113656 + ... + 2113896.

Almost surely, 2^509420016 is an apocalyptic number.

509420016 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 509420016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849646512).

509420016 is an abundant number, since it is smaller than the sum of its proper divisors (1189873008).

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

509420016 is a wasteful number, since it uses less digits than its factorization.

509420016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 509420016 is about 22570.3348668113. The cubic root of 509420016 is about 798.6539949414.

The spelling of 509420016 in words is "five hundred nine million, four hundred twenty thousand, sixteen".