523488000 has 576 divisors, whose sum is σ = 2142766080. Its totient is φ = 110592000.

The previous prime is 523487983. The next prime is 523488011. The reversal of 523488000 is 884325.

It is a super-2 number, since 2×523488000² = 548079372288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12767980 + ... + 12768020.

It is an arithmetic number, because the mean of its divisors is an integer number (3720080).

Almost surely, 2^523488000 is an apocalyptic number.

523488000 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 523488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071383040).

523488000 is an abundant number, since it is smaller than the sum of its proper divisors (1619278080).

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

523488000 is a wasteful number, since it uses less digits than its factorization.

523488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 523488000 is about 22879.8601394327. The cubic root of 523488000 is about 805.9391326024.

The spelling of 523488000 in words is "five hundred twenty-three million, four hundred eighty-eight thousand".