245994624 has 256 divisors, whose sum is σ = 793152000. Its totient is φ = 74760192.

The previous prime is 245994613. The next prime is 245994631. The reversal of 245994624 is 426499542.

245994624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 245994624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3113817 + ... + 3113895.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2^245994624 is an apocalyptic number.

245994624 is a gapful number since it is divisible by the number (24) 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 245994624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396576000).

245994624 is an abundant number, since it is smaller than the sum of its proper divisors (547157376).

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

245994624 is a wasteful number, since it uses less digits than its factorization.

245994624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 245994624 is about 15684.2157598013. The cubic root of 245994624 is about 626.5780911981.

The spelling of 245994624 in words is "two hundred forty-five million, nine hundred ninety-four thousand, six hundred twenty-four".