509056704 has 448 divisors, whose sum is σ = 1802465280. Its totient is φ = 139345920.

The previous prime is 509056663. The next prime is 509056729. The reversal of 509056704 is 407650905.

509056704 is a `hidden beast` number, since 5 + 0 + 90 + 567 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11838507 + ... + 11838549.

It is an arithmetic number, because the mean of its divisors is an integer number (4023360).

Almost surely, 2^509056704 is an apocalyptic number.

509056704 is a gapful number since it is divisible by the number (54) 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 509056704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901232640).

509056704 is an abundant number, since it is smaller than the sum of its proper divisors (1293408576).

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

509056704 is a wasteful number, since it uses less digits than its factorization.

509056704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 509056704 is about 22562.2849906653. The cubic root of 509056704 is about 798.4640864323.

The spelling of 509056704 in words is "five hundred nine million, fifty-six thousand, seven hundred four".