245949264 has 160 divisors (see below), whose sum is σ = 781795200. Its totient is φ = 73405440.

The previous prime is 245949227. The next prime is 245949289. The reversal of 245949264 is 462949542.

245949264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (622080) is a multiple of the sum of its prime factors (810).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346542 + ... + 347250.

It is an arithmetic number, because the mean of its divisors is an integer number (4886220).

Almost surely, 2^245949264 is an apocalyptic number.

245949264 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 245949264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390897600).

245949264 is an abundant number, since it is smaller than the sum of its proper divisors (535845936).

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

245949264 is a wasteful number, since it uses less digits than its factorization.

245949264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 798 counting only the distinct ones).

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

The square root of 245949264 is about 15682.7696533489. The cubic root of 245949264 is about 626.5395763600.

The spelling of 245949264 in words is "two hundred forty-five million, nine hundred forty-nine thousand, two hundred sixty-four".