509846820 has 48 divisors (see below), whose sum is σ = 1631511168. Its totient is φ = 116536320.

The previous prime is 509846759. The next prime is 509846833. The reversal of 509846820 is 28648905.

It is a super-2 number, since 2×509846820² = 519887559728224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606541 + ... + 607380.

It is an arithmetic number, because the mean of its divisors is an integer number (33989816).

Almost surely, 2^509846820 is an apocalyptic number.

It is an amenable number.

509846820 is an abundant number, since it is smaller than the sum of its proper divisors (1121664348).

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

509846820 is a wasteful number, since it uses less digits than its factorization.

509846820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213940 (or 1213938 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 509846820 is about 22579.7878643711. The cubic root of 509846820 is about 798.8769763433.

The spelling of 509846820 in words is "five hundred nine million, eight hundred forty-six thousand, eight hundred twenty".