509326272 has 448 divisors, whose sum is σ = 1911705600. Its totient is φ = 129392640.

The previous prime is 509326247. The next prime is 509326277. The reversal of 509326272 is 272623905.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509326277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6447129 + ... + 6447207.

It is an arithmetic number, because the mean of its divisors is an integer number (4267200).

Almost surely, 2^509326272 is an apocalyptic number.

509326272 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 509326272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955852800).

509326272 is an abundant number, since it is smaller than the sum of its proper divisors (1402379328).

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

509326272 is a wasteful number, since it uses less digits than its factorization.

509326272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 509326272 is about 22568.2580630407. The cubic root of 509326272 is about 798.6050022237.

The spelling of 509326272 in words is "five hundred nine million, three hundred twenty-six thousand, two hundred seventy-two".