245760480 has 504 divisors, whose sum is σ = 1036190232. Its totient is φ = 54867456.

The previous prime is 245760457. The next prime is 245760481. The reversal of 245760480 is 84067542.

245760480 is a `hidden beast` number, since 2 + 4 + 576 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 (245760481) 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 83 ways as a sum of consecutive naturals, for example, 5715339 + ... + 5715381.

It is an arithmetic number, because the mean of its divisors is an integer number (2055933).

Almost surely, 2^245760480 is an apocalyptic number.

245760480 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 245760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518095116).

245760480 is an abundant number, since it is smaller than the sum of its proper divisors (790429752).

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

245760480 is an equidigital number, since it uses as much as digits as its factorization.

245760480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

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

The square root of 245760480 is about 15676.7496631158. The cubic root of 245760480 is about 626.3792303855.

The spelling of 245760480 in words is "two hundred forty-five million, seven hundred sixty thousand, four hundred eighty".