538401600 has 504 divisors, whose sum is σ = 2178263360. Its totient is φ = 129254400.

The previous prime is 538401599. The next prime is 538401623. The reversal of 538401600 is 6104835.

538401600 is a `hidden beast` number, since 53 + 8 + 4 + 0 + 1 + 600 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5227149 + ... + 5227251.

Almost surely, 2^538401600 is an apocalyptic number.

538401600 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 538401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089131680).

538401600 is an abundant number, since it is smaller than the sum of its proper divisors (1639861760).

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

538401600 is a wasteful number, since it uses less digits than its factorization.

538401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 538401600 is about 23203.4824972460. The cubic root of 538401600 is about 813.5210233030.

The spelling of 538401600 in words is "five hundred thirty-eight million, four hundred one thousand, six hundred".