531266400 has 432 divisors, whose sum is σ = 2183860224. Its totient is φ = 119024640.

The previous prime is 531266357. The next prime is 531266401. The reversal of 531266400 is 4662135.

531266400 is a `hidden beast` number, since 5 + 3 + 12 + 6 + 640 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531266401) 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 71 ways as a sum of consecutive naturals, for example, 4183137 + ... + 4183263.

It is an arithmetic number, because the mean of its divisors is an integer number (5055232).

Almost surely, 2^531266400 is an apocalyptic number.

531266400 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 531266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091930112).

531266400 is an abundant number, since it is smaller than the sum of its proper divisors (1652593824).

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

531266400 is a wasteful number, since it uses less digits than its factorization.

531266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 531266400 is about 23049.2169064374. The cubic root of 531266400 is about 809.9112842938.

The spelling of 531266400 in words is "five hundred thirty-one million, two hundred sixty-six thousand, four hundred".