4801697280 has 320 divisors, whose sum is σ = 17221754880. Its totient is φ = 1268047872.

The previous prime is 4801697239. The next prime is 4801697287. The reversal of 4801697280 is 827961084.

4801697280 is a `hidden beast` number, since 480 + 1 + 6 + 97 + 2 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4801697287) 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 31 ways as a sum of consecutive naturals, for example, 8777967 + ... + 8778513.

It is an arithmetic number, because the mean of its divisors is an integer number (53817984).

Almost surely, 2^4801697280 is an apocalyptic number.

4801697280 is a gapful number since it is divisible by the number (40) 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 4801697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8610877440).

4801697280 is an abundant number, since it is smaller than the sum of its proper divisors (12420057600).

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

4801697280 is a wasteful number, since it uses less digits than its factorization.

4801697280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 4801697280 is about 69294.2802834404. The cubic root of 4801697280 is about 1687.0641323669.

The spelling of 4801697280 in words is "four billion, eight hundred one million, six hundred ninety-seven thousand, two hundred eighty".