245790720 has 384 divisors, whose sum is σ = 1006387200. Its totient is φ = 55738368.

The previous prime is 245790697. The next prime is 245790739. The reversal of 245790720 is 27097542.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 1935297 + ... + 1935423.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^245790720 is an apocalyptic number.

245790720 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 245790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503193600).

245790720 is an abundant number, since it is smaller than the sum of its proper divisors (760596480).

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

245790720 is a wasteful number, since it uses less digits than its factorization.

245790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 245790720 is about 15677.7141190927. The cubic root of 245790720 is about 626.4049206172.

The spelling of 245790720 in words is "two hundred forty-five million, seven hundred ninety thousand, seven hundred twenty".