245729120 has 144 divisors (see below), whose sum is σ = 727565328. Its totient is φ = 77736960.

The previous prime is 245729117. The next prime is 245729131. The reversal of 245729120 is 21927542.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 100715 + ... + 103125.

It is an arithmetic number, because the mean of its divisors is an integer number (5052537).

Almost surely, 2^245729120 is an apocalyptic number.

245729120 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 245729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363782664).

245729120 is an abundant number, since it is smaller than the sum of its proper divisors (481836208).

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

245729120 is a wasteful number, since it uses less digits than its factorization.

245729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 245729120 is about 15675.7494238713. The cubic root of 245729120 is about 626.3525864376.

The spelling of 245729120 in words is "two hundred forty-five million, seven hundred twenty-nine thousand, one hundred twenty".