245713300 has 144 divisors (see below), whose sum is σ = 641208960. Its totient is φ = 79971840.

The previous prime is 245713289. The next prime is 245713313. The reversal of 245713300 is 3317542.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 47 ways as a sum of consecutive naturals, for example, 1372611 + ... + 1372789.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^245713300 is an apocalyptic number.

245713300 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 245713300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320604480).

245713300 is an abundant number, since it is smaller than the sum of its proper divisors (395495660).

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

245713300 is a wasteful number, since it uses less digits than its factorization.

245713300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 245713300 is about 15675.2448146751. The cubic root of 245713300 is about 626.3391446573.

The spelling of 245713300 in words is "two hundred forty-five million, seven hundred thirteen thousand, three hundred".