4632480 has 72 divisors (see below), whose sum is σ = 15813252. Its totient is φ = 1234944.

The previous prime is 4632473. The next prime is 4632487. The reversal of 4632480 is 842364.

It is an interprime number because it is at equal distance from previous prime (4632473) and next prime (4632487).

It can be written as a sum of positive squares in 2 ways, for example, as 4511376 + 121104 = 2124^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4632487) 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 11 ways as a sum of consecutive naturals, for example, 169 + ... + 3048.

Almost surely, 2^4632480 is an apocalyptic number.

4632480 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 4632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7906626).

4632480 is an abundant number, since it is smaller than the sum of its proper divisors (11180772).

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

4632480 is a wasteful number, since it uses less digits than its factorization.

4632480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4632480 is about 2152.3196788581. The cubic root of 4632480 is about 166.7008640938.

The spelling of 4632480 in words is "four million, six hundred thirty-two thousand, four hundred eighty".