523640400 has 120 divisors (see below), whose sum is σ = 1696587840. Its totient is φ = 138040320.

The previous prime is 523640393. The next prime is 523640449. The reversal of 523640400 is 4046325.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104349 + ... + 109251.

It is an arithmetic number, because the mean of its divisors is an integer number (14138232).

Almost surely, 2^523640400 is an apocalyptic number.

523640400 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 523640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848293920).

523640400 is an abundant number, since it is smaller than the sum of its proper divisors (1172947440).

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

523640400 is a wasteful number, since it uses less digits than its factorization.

523640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 523640400 is about 22883.1903370138. The cubic root of 523640400 is about 806.0173344629.

Adding to 523640400 its reverse (4046325), we get a palindrome (527686725).

The spelling of 523640400 in words is "five hundred twenty-three million, six hundred forty thousand, four hundred".