4653960480 has 144 divisors (see below), whose sum is σ = 17103373560. Its totient is φ = 1145585664.

The previous prime is 4653960473. The next prime is 4653960523. The reversal of 4653960480 is 840693564.

4653960480 is a `hidden beast` number, since 4 + 6 + 5 + 39 + 604 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4117018896 + 536941584 = 64164^2 + 23172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105585 + ... + 143024.

Almost surely, 2^4653960480 is an apocalyptic number.

4653960480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4653960480 is an abundant number, since it is smaller than the sum of its proper divisors (12449413080).

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

4653960480 is a wasteful number, since it uses less digits than its factorization.

4653960480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248643 (or 248632 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4653960480 is about 68219.9419524819. The cubic root of 4653960480 is about 1669.5812687967.

It can be divided in two parts, 46539604 and 80, that added together give a square (46539684 = 6822²).

The spelling of 4653960480 in words is "four billion, six hundred fifty-three million, nine hundred sixty thousand, four hundred eighty".