509449512 has 128 divisors (see below), whose sum is σ = 1516032000. Its totient is φ = 140624640.

The previous prime is 509449511. The next prime is 509449513. The reversal of 509449512 is 215944905.

It is an interprime number because it is at equal distance from previous prime (509449511) and next prime (509449513).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (509449511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270189 + ... + 272067.

It is an arithmetic number, because the mean of its divisors is an integer number (11844000).

Almost surely, 2^509449512 is an apocalyptic number.

509449512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509449512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758016000).

509449512 is an abundant number, since it is smaller than the sum of its proper divisors (1006582488).

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

509449512 is a wasteful number, since it uses less digits than its factorization.

509449512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 509449512 is about 22570.9882814200. The cubic root of 509449512 is about 798.6694089697.

The spelling of 509449512 in words is "five hundred nine million, four hundred forty-nine thousand, five hundred twelve".