523054000 has 80 divisors (see below), whose sum is σ = 1445461056. Its totient is φ = 179328000.

The previous prime is 523053997. The next prime is 523054001. The reversal of 523054000 is 450325.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (523054001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4681 + ... + 32680.

Almost surely, 2^523054000 is an apocalyptic number.

523054000 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 523054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722730528).

523054000 is an abundant number, since it is smaller than the sum of its proper divisors (922407056).

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

523054000 is a wasteful number, since it uses less digits than its factorization.

523054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37391 (or 37375 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 523054000 is about 22870.3738491525. The cubic root of 523054000 is about 805.7163485783.

The spelling of 523054000 in words is "five hundred twenty-three million, fifty-four thousand".