509404896 has 768 divisors, whose sum is σ = 2167603200. Its totient is φ = 111974400.

The previous prime is 509404873. The next prime is 509404919. The reversal of 509404896 is 698404905.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (509404873) and next prime (509404919).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16432401 + ... + 16432431.

It is an arithmetic number, because the mean of its divisors is an integer number (2822400).

Almost surely, 2^509404896 is an apocalyptic number.

509404896 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 509404896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083801600).

509404896 is an abundant number, since it is smaller than the sum of its proper divisors (1658198304).

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

509404896 is a wasteful number, since it uses less digits than its factorization.

509404896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 509404896 is about 22569.9999113868. Note that the first 4 decimals coincide. The cubic root of 509404896 is about 798.6460932967.

The spelling of 509404896 in words is "five hundred nine million, four hundred four thousand, eight hundred ninety-six".