512940 has 48 divisors (see below), whose sum is σ = 1467648. Its totient is φ = 133824.

The previous prime is 512929. The next prime is 512959. The reversal of 512940 is 49215.

512940 = 13² + 14² + ... + 115².

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, 4929 + ... + 5031.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2⁵¹²⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824).

512940 is an abundant number, since it is smaller than the sum of its proper divisors (954708).

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

512940 is a wasteful number, since it uses less digits than its factorization.

512940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 512940 is about 716.1982965632. The cubic root of 512940 is about 80.0489284024.

The spelling of 512940 in words is "five hundred twelve thousand, nine hundred forty".