245314000 has 80 divisors (see below), whose sum is σ = 597439440. Its totient is φ = 97420800.

The previous prime is 245313989. The next prime is 245314061. The reversal of 245314000 is 413542.

It can be written as a sum of positive squares in 8 ways, for example, as 71707024 + 173606976 = 8468^2 + 13176^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345646 + ... + 346354.

It is an arithmetic number, because the mean of its divisors is an integer number (7467993).

Almost surely, 2^245314000 is an apocalyptic number.

245314000 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 245314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298719720).

245314000 is an abundant number, since it is smaller than the sum of its proper divisors (352125440).

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

245314000 is a wasteful number, since it uses less digits than its factorization.

245314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 245314000 is about 15662.5029928170. The cubic root of 245314000 is about 625.9996801708. Note that the first 3 decimals are identical.

Adding to 245314000 its reverse (413542), we get a palindrome (245727542).

The spelling of 245314000 in words is "two hundred forty-five million, three hundred fourteen thousand".