524040400 has 120 divisors (see below), whose sum is σ = 1365850080. Its totient is φ = 192069120.

The previous prime is 524040383. The next prime is 524040403. The reversal of 524040400 is 4040425.

It is a super-3 number, since 3×524040400³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524040403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 930519 + ... + 931081.

It is an arithmetic number, because the mean of its divisors is an integer number (11382084).

Almost surely, 2^524040400 is an apocalyptic number.

524040400 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 524040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682925040).

524040400 is an abundant number, since it is smaller than the sum of its proper divisors (841809680).

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

524040400 is a wasteful number, since it uses less digits than its factorization.

524040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 524040400 is about 22891.9287086082. The cubic root of 524040400 is about 806.2225165401. Note that the first 3 decimals are identical.

Adding to 524040400 its reverse (4040425), we get a palindrome (528080825).

The spelling of 524040400 in words is "five hundred twenty-four million, forty thousand, four hundred".