509341920 has 48 divisors (see below), whose sum is σ = 1604428560. Its totient is φ = 135824384.

The previous prime is 509341907. The next prime is 509341957. The reversal of 509341920 is 29143905.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 530085 + ... + 531044.

It is an arithmetic number, because the mean of its divisors is an integer number (33425595).

Almost surely, 2^509341920 is an apocalyptic number.

It is an amenable number.

509341920 is an abundant number, since it is smaller than the sum of its proper divisors (1095086640).

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

509341920 is a wasteful number, since it uses less digits than its factorization.

509341920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061147 (or 1061139 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 509341920 is about 22568.6047419862. The cubic root of 509341920 is about 798.6131806376.

The spelling of 509341920 in words is "five hundred nine million, three hundred forty-one thousand, nine hundred twenty".