252430460640 has 288 divisors, whose sum is σ = 910185939936. Its totient is φ = 66044160000.

The previous prime is 252430460629. The next prime is 252430460641. The reversal of 252430460640 is 46064034252.

252430460640 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 3 + 0 + 4 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×252430460640² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 252430460595 and 252430460604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252430460641) 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, 1999390 + ... + 2121890.

It is an arithmetic number, because the mean of its divisors is an integer number (3160367847).

Almost surely, 2^252430460640 is an apocalyptic number.

252430460640 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 252430460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455092969968).

252430460640 is an abundant number, since it is smaller than the sum of its proper divisors (657755479296).

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

252430460640 is a wasteful number, since it uses less digits than its factorization.

252430460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122584 (or 122564 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 252430460640 its reverse (46064034252), we get a palindrome (298494494892).

The spelling of 252430460640 in words is "two hundred fifty-two billion, four hundred thirty million, four hundred sixty thousand, six hundred forty".