509221440 has 672 divisors, whose sum is σ = 2263322880. Its totient is φ = 102187008.

The previous prime is 509221409. The next prime is 509221441. The reversal of 509221440 is 44122905.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (509221441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7600287 + ... + 7600353.

It is an arithmetic number, because the mean of its divisors is an integer number (3368040).

Almost surely, 2^509221440 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 509221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131661440).

509221440 is an abundant number, since it is smaller than the sum of its proper divisors (1754101440).

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

509221440 is a wasteful number, since it uses less digits than its factorization.

509221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 509221440 is about 22565.9353894316. The cubic root of 509221440 is about 798.5502075478.

The spelling of 509221440 in words is "five hundred nine million, two hundred twenty-one thousand, four hundred forty".