538048000 has 160 divisors (see below), whose sum is σ = 1534598208. Its totient is φ = 184320000.

The previous prime is 538047973. The next prime is 538048009. The reversal of 538048000 is 840835.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 538048000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538048009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447400 + ... + 448600.

Almost surely, 2^538048000 is an apocalyptic number.

538048000 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 538048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767299104).

538048000 is an abundant number, since it is smaller than the sum of its proper divisors (996550208).

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

538048000 is an equidigital number, since it uses as much as digits as its factorization.

538048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 538048000 is about 23195.8616998809. The cubic root of 538048000 is about 813.3428885975.

Adding to 538048000 its reverse (840835), we get a palindrome (538888835).

The spelling of 538048000 in words is "five hundred thirty-eight million, forty-eight thousand".