538963200 has 216 divisors, whose sum is σ = 1976956800. Its totient is φ = 143677440.

The previous prime is 538963199. The next prime is 538963211. The reversal of 538963200 is 2369835.

538963200 is a `hidden beast` number, since 538 + 96 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 23 ways as a sum of consecutive naturals, for example, 171241 + ... + 174359.

Almost surely, 2^538963200 is an apocalyptic number.

538963200 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 538963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988478400).

538963200 is an abundant number, since it is smaller than the sum of its proper divisors (1437993600).

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

538963200 is a wasteful number, since it uses less digits than its factorization.

538963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 538963200 is about 23215.5809748539. The cubic root of 538963200 is about 813.8037828922.

The spelling of 538963200 in words is "five hundred thirty-eight million, nine hundred sixty-three thousand, two hundred".