538448000 has 128 divisors (see below), whose sum is σ = 1359998640. Its totient is φ = 211968000.

The previous prime is 538447999. The next prime is 538448023. The reversal of 538448000 is 844835.

It can be written as a sum of positive squares in 8 ways, for example, as 7974976 + 530473024 = 2824^2 + 23032^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167770 + ... + 1168230.

Almost surely, 2^538448000 is an apocalyptic number.

538448000 is a gapful number since it is divisible by the number (50) 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 538448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679999320).

538448000 is an abundant number, since it is smaller than the sum of its proper divisors (821550640).

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

538448000 is an equidigital number, since it uses as much as digits as its factorization.

538448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 538448000 is about 23204.4823256198. The cubic root of 538448000 is about 813.5443926560.

The spelling of 538448000 in words is "five hundred thirty-eight million, four hundred forty-eight thousand".