538164000 has 480 divisors, whose sum is σ = 2169078912. Its totient is φ = 129600000.

The previous prime is 538163971. The next prime is 538164007. The reversal of 538164000 is 461835.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538164007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3563925 + ... + 3564075.

Almost surely, 2^538164000 is an apocalyptic number.

538164000 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 538164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084539456).

538164000 is an abundant number, since it is smaller than the sum of its proper divisors (1630914912).

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

538164000 is a wasteful number, since it uses less digits than its factorization.

538164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

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

The square root of 538164000 is about 23198.3620111421. The cubic root of 538164000 is about 813.4013350531.

The spelling of 538164000 in words is "five hundred thirty-eight million, one hundred sixty-four thousand".