4641280 has 120 divisors (see below), whose sum is σ = 13294908. Its totient is φ = 1548288.

The previous prime is 4641271. The next prime is 4641281. The reversal of 4641280 is 821464.

It can be written as a sum of positive squares in 2 ways, for example, as 4528384 + 112896 = 2128^2 + 336^2 .

It is not an unprimeable number, because it can be changed into a prime (4641281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125422 + ... + 125458.

Almost surely, 2^4641280 is an apocalyptic number.

4641280 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 4641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647454).

4641280 is an abundant number, since it is smaller than the sum of its proper divisors (8653628).

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

4641280 is an equidigital number, since it uses as much as digits as its factorization.

4641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4641280 is about 2154.3630149072. The cubic root of 4641280 is about 166.8063540031.

The spelling of 4641280 in words is "four million, six hundred forty-one thousand, two hundred eighty".