245528064 has 80 divisors (see below), whose sum is σ = 726821040. Its totient is φ = 81838080.

The previous prime is 245528057. The next prime is 245528077. The reversal of 245528064 is 460825542.

It is a happy number.

245528064 is a `hidden beast` number, since 24 + 552 + 80 + 6 + 4 = 666.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4944 + ... + 22704.

It is an arithmetic number, because the mean of its divisors is an integer number (9085263).

Almost surely, 2^245528064 is an apocalyptic number.

245528064 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 245528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363410520).

245528064 is an abundant number, since it is smaller than the sum of its proper divisors (481292976).

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

245528064 is an equidigital number, since it uses as much as digits as its factorization.

245528064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17788 (or 17766 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 245528064 is about 15669.3351486271. The cubic root of 245528064 is about 626.1817122284.

The spelling of 245528064 in words is "two hundred forty-five million, five hundred twenty-eight thousand, sixty-four".