245047680 has 320 divisors, whose sum is σ = 910839600. Its totient is φ = 62705664.

The previous prime is 245047637. The next prime is 245047697. The reversal of 245047680 is 86740542.

245047680 is a `hidden beast` number, since 2 + 4 + 504 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×245047680³ (a number of 26 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1503279 + ... + 1503441.

Almost surely, 2^245047680 is an apocalyptic number.

245047680 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 245047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455419800).

245047680 is an abundant number, since it is smaller than the sum of its proper divisors (665791920).

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

245047680 is a wasteful number, since it uses less digits than its factorization.

245047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

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

The square root of 245047680 is about 15653.9988501341. The cubic root of 245047680 is about 625.7730636685.

Adding to 245047680 its sum of digits (36), we get a square (245047716 = 15654²).

The spelling of 245047680 in words is "two hundred forty-five million, forty-seven thousand, six hundred eighty".