509970 has 32 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 133760.

The previous prime is 509963. The next prime is 509989. The reversal of 509970 is 79905.

509970 = T₁₅₀ + T₁₅₁ + ... + T₁₈₅.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

509970 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2575 + ... + 2765.

It is an arithmetic number, because the mean of its divisors is an integer number (38880).

2⁵⁰⁹⁹⁷⁰ is an apocalyptic number.

509970 is an abundant number, since it is smaller than the sum of its proper divisors (734190).

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

509970 is a wasteful number, since it uses less digits than its factorization.

509970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 509970 is about 714.1218383441. The cubic root of 509970 is about 79.8941307915.

The spelling of 509970 in words is "five hundred nine thousand, nine hundred seventy".