4741264 has 60 divisors (see below), whose sum is σ = 10554880. Its totient is φ = 2059200.

The previous prime is 4741259. The next prime is 4741267. The reversal of 4741264 is 4621474.

4741264 = 173² + 174² + ... + 268².

It is not an unprimeable number, because it can be changed into a prime (4741267) 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, 59977 + ... + 60055.

Almost surely, 2^4741264 is an apocalyptic number.

4741264 is a gapful number since it is divisible by the number (44) 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 4741264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277440).

4741264 is an abundant number, since it is smaller than the sum of its proper divisors (5813616).

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

4741264 is a wasteful number, since it uses less digits than its factorization.

4741264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 4741264 is about 2177.4443735719. Note that the first 3 decimals coincide. The cubic root of 4741264 is about 167.9956537046.

It can be divided in two parts, 4741 and 264, that added together give a palindrome (5005).

The spelling of 4741264 in words is "four million, seven hundred forty-one thousand, two hundred sixty-four".