536523400 has 96 divisors (see below), whose sum is σ = 1509546240. Its totient is φ = 173122560.

The previous prime is 536523319. The next prime is 536523409. The reversal of 536523400 is 4325635.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (536523409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12529 + ... + 35071.

It is an arithmetic number, because the mean of its divisors is an integer number (15724440).

Almost surely, 2^536523400 is an apocalyptic number.

536523400 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 536523400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754773120).

536523400 is an abundant number, since it is smaller than the sum of its proper divisors (973022840).

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

536523400 is a wasteful number, since it uses less digits than its factorization.

536523400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22583 (or 22574 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 536523400 is about 23162.9747657765. The cubic root of 536523400 is about 812.5739388334.

The spelling of 536523400 in words is "five hundred thirty-six million, five hundred twenty-three thousand, four hundred".