264522254400 has 252 divisors, whose sum is σ = 955590419524. Its totient is φ = 69382656000.

The previous prime is 264522254389. The next prime is 264522254401. The reversal of 264522254400 is 4452225462.

264522254400 is a `hidden beast` number, since 2 + 64 + 52 + 2 + 2 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6035425344 + 258486829056 = 77688^2 + 508416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (264522254401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 727830 + ... + 1028970.

Almost surely, 2^264522254400 is an apocalyptic number.

264522254400 is a gapful number since it is divisible by the number (20) 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 264522254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477795209762).

264522254400 is an abundant number, since it is smaller than the sum of its proper divisors (691068165124).

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

264522254400 is a wasteful number, since it uses less digits than its factorization.

264522254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301230 (or 301212 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 264522254400 its reverse (4452225462), we get a palindrome (268974479862).

The spelling of 264522254400 in words is "two hundred sixty-four billion, five hundred twenty-two million, two hundred fifty-four thousand, four hundred".