536624400 has 240 divisors, whose sum is σ = 1898628480. Its totient is φ = 128716800.

The previous prime is 536624393. The next prime is 536624401. The reversal of 536624400 is 4426635.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (536624401) 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 47 ways as a sum of consecutive naturals, for example, 639181 + ... + 640019.

It is an arithmetic number, because the mean of its divisors is an integer number (7910952).

Almost surely, 2^536624400 is an apocalyptic number.

536624400 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 536624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949314240).

536624400 is an abundant number, since it is smaller than the sum of its proper divisors (1362004080).

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

536624400 is a wasteful number, since it uses less digits than its factorization.

536624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 536624400 is about 23165.1548667390. The cubic root of 536624400 is about 812.6249243813.

The spelling of 536624400 in words is "five hundred thirty-six million, six hundred twenty-four thousand, four hundred".