509074272 has 144 divisors (see below), whose sum is σ = 1726583040. Its totient is φ = 139113216.

The previous prime is 509074271. The next prime is 509074273. The reversal of 509074272 is 272470905.

It is an interprime number because it is at equal distance from previous prime (509074271) and next prime (509074273).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×509074272² = 518313228824659968, which contains 22 as substring.

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 (509074271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40879 + ... + 51857.

It is an arithmetic number, because the mean of its divisors is an integer number (11990160).

Almost surely, 2^509074272 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 509074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863291520).

509074272 is an abundant number, since it is smaller than the sum of its proper divisors (1217508768).

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

509074272 is a wasteful number, since it uses less digits than its factorization.

509074272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11025 (or 11014 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 509074272 is about 22562.6743095760. The cubic root of 509074272 is about 798.4732715621.

The spelling of 509074272 in words is "five hundred nine million, seventy-four thousand, two hundred seventy-two".