538812000 has 240 divisors, whose sum is σ = 1978808832. Its totient is φ = 143596800.

The previous prime is 538811981. The next prime is 538812047. The reversal of 538812000 is 218835.

It is a happy number.

538812000 is a `hidden beast` number, since 538 + 8 + 120 + 0 + 0 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323169 + ... + 324831.

Almost surely, 2^538812000 is an apocalyptic number.

538812000 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 538812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989404416).

538812000 is an abundant number, since it is smaller than the sum of its proper divisors (1439996832).

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

538812000 is a wasteful number, since it uses less digits than its factorization.

538812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 538812000 is about 23212.3243127439. The cubic root of 538812000 is about 813.7276746407.

The spelling of 538812000 in words is "five hundred thirty-eight million, eight hundred twelve thousand".