245255040 has 384 divisors, whose sum is σ = 935625600. Its totient is φ = 61212672.

The previous prime is 245255029. The next prime is 245255077. The reversal of 245255040 is 40552542.

245255040 is a `hidden beast` number, since 24 + 52 + 550 + 40 = 666.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 245254995 and 245255013.

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, 2954839 + ... + 2954921.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 2^245255040 is an apocalyptic number.

245255040 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 245255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467812800).

245255040 is an abundant number, since it is smaller than the sum of its proper divisors (690370560).

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

245255040 is an equidigital number, since it uses as much as digits as its factorization.

245255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 245255040 is about 15660.6206773550. The cubic root of 245255040 is about 625.9495241823.

The spelling of 245255040 in words is "two hundred forty-five million, two hundred fifty-five thousand, forty".