538927200 has 648 divisors, whose sum is σ = 2369504592. Its totient is φ = 112803840.

The previous prime is 538927199. The next prime is 538927231. The reversal of 538927200 is 2729835.

It is a happy number.

538927200 is a `hidden beast` number, since 5 + 389 + 272 + 0 + 0 = 666.

It is a super-3 number, since 3×538927200³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14565582 + ... + 14565618.

Almost surely, 2^538927200 is an apocalyptic number.

538927200 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 538927200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184752296).

538927200 is an abundant number, since it is smaller than the sum of its proper divisors (1830577392).

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

538927200 is a wasteful number, since it uses less digits than its factorization.

538927200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 538927200 is about 23214.8056205517. The cubic root of 538927200 is about 813.7856631712.

The spelling of 538927200 in words is "five hundred thirty-eight million, nine hundred twenty-seven thousand, two hundred".