538904000 has 224 divisors, whose sum is σ = 1437875712. Its totient is φ = 199680000.

The previous prime is 538903999. The next prime is 538904033. The reversal of 538904000 is 409835.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10167974 + ... + 10168026.

It is an arithmetic number, because the mean of its divisors is an integer number (6419088).

Almost surely, 2^538904000 is an apocalyptic number.

538904000 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 538904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718937856).

538904000 is an abundant number, since it is smaller than the sum of its proper divisors (898971712).

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

538904000 is a wasteful number, since it uses less digits than its factorization.

538904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 538904000 is about 23214.3059340571. The cubic root of 538904000 is about 813.7739855900.

The spelling of 538904000 in words is "five hundred thirty-eight million, nine hundred four thousand".