4688460480 has 112 divisors (see below), whose sum is σ = 16239158784. Its totient is φ = 1136593920.

The previous prime is 4688460473. The next prime is 4688460487. The reversal of 4688460480 is 840648864.

It is an interprime number because it is at equal distance from previous prime (4688460473) and next prime (4688460487).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4688460487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211432 + ... + 232551.

Almost surely, 2^4688460480 is an apocalyptic number.

4688460480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4688460480 is an abundant number, since it is smaller than the sum of its proper divisors (11550698304).

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

4688460480 is a wasteful number, since it uses less digits than its factorization.

4688460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444014 (or 444004 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 4688460480 is about 68472.3336830285. Note that the first 3 decimals coincide. The cubic root of 4688460480 is about 1673.6966744141.

The spelling of 4688460480 in words is "four billion, six hundred eighty-eight million, four hundred sixty thousand, four hundred eighty".