4744960 has 72 divisors (see below), whose sum is σ = 12435696. Its totient is φ = 1720320.

The previous prime is 4744937. The next prime is 4744963. The reversal of 4744960 is 694474.

4744960 = T₂₃₇ + T₂₃₈ + ... + T₃₄₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4744963) 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 7 ways as a sum of consecutive naturals, for example, 13912 + ... + 14248.

It is an arithmetic number, because the mean of its divisors is an integer number (172718).

Almost surely, 2^4744960 is an apocalyptic number.

4744960 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 4744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217848).

4744960 is an abundant number, since it is smaller than the sum of its proper divisors (7690736).

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

4744960 is a wasteful number, since it uses less digits than its factorization.

4744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 4744960 is about 2178.2929095969. The cubic root of 4744960 is about 168.0392954188.

The spelling of 4744960 in words is "four million, seven hundred forty-four thousand, nine hundred sixty".