4977560 has 64 divisors (see below), whose sum is σ = 13262400. Its totient is φ = 1645056.

The previous prime is 4977559. The next prime is 4977569. The reversal of 4977560 is 657794.

It is a super-2 number, since 2×4977560² = 49552207107200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4977569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7814 + ... + 8426.

It is an arithmetic number, because the mean of its divisors is an integer number (207225).

Almost surely, 2^4977560 is an apocalyptic number.

4977560 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 4977560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631200).

4977560 is an abundant number, since it is smaller than the sum of its proper divisors (8284840).

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

4977560 is a wasteful number, since it uses less digits than its factorization.

4977560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 4977560 is about 2231.0445983888. The cubic root of 4977560 is about 170.7413986136.

The spelling of 4977560 in words is "four million, nine hundred seventy-seven thousand, five hundred sixty".