538609344 has 224 divisors, whose sum is σ = 1816120320. Its totient is φ = 137023488.

The previous prime is 538609319. The next prime is 538609363. The reversal of 538609344 is 443906835.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×538609344² = 580200050888220672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 538609296 and 538609305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506157 + ... + 507219.

It is an arithmetic number, because the mean of its divisors is an integer number (8107680).

Almost surely, 2^538609344 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 538609344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908060160).

538609344 is an abundant number, since it is smaller than the sum of its proper divisors (1277510976).

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

538609344 is a wasteful number, since it uses less digits than its factorization.

538609344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 538609344 is about 23207.9586349166. The cubic root of 538609344 is about 813.6256430882.

The spelling of 538609344 in words is "five hundred thirty-eight million, six hundred nine thousand, three hundred forty-four".