245917520 has 80 divisors (see below), whose sum is σ = 584962560. Its totient is φ = 96125952.

The previous prime is 245917457. The next prime is 245917531. The reversal of 245917520 is 25719542.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055324 + ... + 1055556.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2^245917520 is an apocalyptic number.

245917520 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 245917520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

245917520 is an abundant number, since it is smaller than the sum of its proper divisors (339045040).

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

245917520 is a wasteful number, since it uses less digits than its factorization.

245917520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 245917520 is about 15681.7575545600. The cubic root of 245917520 is about 626.5126199495.

The spelling of 245917520 in words is "two hundred forty-five million, nine hundred seventeen thousand, five hundred twenty".