538321200 has 240 divisors, whose sum is σ = 1845120000. Its totient is φ = 133862400.

The previous prime is 538321183. The next prime is 538321211. The reversal of 538321200 is 2123835.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078551 + ... + 1079049.

It is an arithmetic number, because the mean of its divisors is an integer number (7688000).

Almost surely, 2^538321200 is an apocalyptic number.

538321200 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 538321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922560000).

538321200 is an abundant number, since it is smaller than the sum of its proper divisors (1306798800).

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

538321200 is a wasteful number, since it uses less digits than its factorization.

538321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 538321200 is about 23201.7499340028. The cubic root of 538321200 is about 813.4805266760.

The spelling of 538321200 in words is "five hundred thirty-eight million, three hundred twenty-one thousand, two hundred".