538246800 has 720 divisors, whose sum is σ = 2417845248. Its totient is φ = 107827200.

The previous prime is 538246717. The next prime is 538246847. The reversal of 538246800 is 8642835.

538246800 is a `hidden beast` number, since 538 + 2 + 46 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10155574 + ... + 10155626.

Almost surely, 2^538246800 is an apocalyptic number.

538246800 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 538246800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208922624).

538246800 is an abundant number, since it is smaller than the sum of its proper divisors (1879598448).

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

538246800 is a wasteful number, since it uses less digits than its factorization.

538246800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 538246800 is about 23200.1465512613. The cubic root of 538246800 is about 813.4430485932.

The spelling of 538246800 in words is "five hundred thirty-eight million, two hundred forty-six thousand, eight hundred".