245674080 has 384 divisors, whose sum is σ = 930787200. Its totient is φ = 60383232.

The previous prime is 245674069. The next prime is 245674081. The reversal of 245674080 is 80476542.

245674080 is a `hidden beast` number, since 245 + 6 + 7 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245674081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4635334 + ... + 4635386.

It is an arithmetic number, because the mean of its divisors is an integer number (2423925).

Almost surely, 2^245674080 is an apocalyptic number.

245674080 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 245674080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465393600).

245674080 is an abundant number, since it is smaller than the sum of its proper divisors (685113120).

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

245674080 is a wasteful number, since it uses less digits than its factorization.

245674080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 245674080 is about 15673.9937476063. The cubic root of 245674080 is about 626.3058181091.

The spelling of 245674080 in words is "two hundred forty-five million, six hundred seventy-four thousand, eighty".