538417008 has 120 divisors (see below), whose sum is σ = 1547520000. Its totient is φ = 174690432.

The previous prime is 538416997. The next prime is 538417039. The reversal of 538417008 is 800714835.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1078743 + ... + 1079241.

It is an arithmetic number, because the mean of its divisors is an integer number (12896000).

Almost surely, 2^538417008 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 538417008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773760000).

538417008 is an abundant number, since it is smaller than the sum of its proper divisors (1009102992).

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

538417008 is a wasteful number, since it uses less digits than its factorization.

538417008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 538417008 is about 23203.8145139975. The cubic root of 538417008 is about 813.5287836888.

The spelling of 538417008 in words is "five hundred thirty-eight million, four hundred seventeen thousand, eight".