4920406560 has 480 divisors, whose sum is σ = 19205569152. Its totient is φ = 1180016640.

The previous prime is 4920406549. The next prime is 4920406567. The reversal of 4920406560 is 656040294.

4920406560 is a `hidden beast` number, since 4 + 92 + 0 + 4 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (4920406567) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 5066875 + ... + 5067845.

Almost surely, 2^4920406560 is an apocalyptic number.

4920406560 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 4920406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9602784576).

4920406560 is an abundant number, since it is smaller than the sum of its proper divisors (14285162592).

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

4920406560 is a wasteful number, since it uses less digits than its factorization.

4920406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4920406560 is about 70145.6096986832. The cubic root of 4920406560 is about 1700.8538455837.

The spelling of 4920406560 in words is "four billion, nine hundred twenty million, four hundred six thousand, five hundred sixty".