509473840 has 40 divisors (see below), whose sum is σ = 1222743168. Its totient is φ = 197214720.

The previous prime is 509473823. The next prime is 509473859. The reversal of 509473840 is 48374905.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 509473793 and 509473802.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100237 + ... + 105196.

Almost surely, 2^509473840 is an apocalyptic number.

It is an amenable number.

509473840 is an abundant number, since it is smaller than the sum of its proper divisors (713269328).

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

509473840 is a wasteful number, since it uses less digits than its factorization.

509473840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205477 (or 205471 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 509473840 is about 22571.5271968912. The cubic root of 509473840 is about 798.6821218553.

The spelling of 509473840 in words is "five hundred nine million, four hundred seventy-three thousand, eight hundred forty".