245566464 has 264 divisors, whose sum is σ = 791157312. Its totient is φ = 67092480.

The previous prime is 245566441. The next prime is 245566481. The reversal of 245566464 is 464665542.

It is a tau number, because it is divible by the number of its divisors (264).

Its product of digits (691200) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5710827 + ... + 5710869.

It is an arithmetic number, because the mean of its divisors is an integer number (2996808).

Almost surely, 2^245566464 is an apocalyptic number.

245566464 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 245566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395578656).

245566464 is an abundant number, since it is smaller than the sum of its proper divisors (545590848).

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

245566464 is a wasteful number, since it uses less digits than its factorization.

245566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The square root of 245566464 is about 15670.5604239287. The cubic root of 245566464 is about 626.2143549658.

The spelling of 245566464 in words is "two hundred forty-five million, five hundred sixty-six thousand, four hundred sixty-four".