4977360 has 120 divisors (see below), whose sum is σ = 17332224. Its totient is φ = 1278720.

The previous prime is 4977341. The next prime is 4977367. The reversal of 4977360 is 637794.

It is a Cunningham number, because it is equal to 2231²-1.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×4977360⁴ (a number of 28 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4977367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22209 + ... + 22431.

Almost surely, 2^4977360 is an apocalyptic number.

4977360 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 4977360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8666112).

4977360 is an abundant number, since it is smaller than the sum of its proper divisors (12354864).

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

4977360 is a wasteful number, since it uses less digits than its factorization.

4977360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 4977360 is about 2230.9997758852. Note that the first 3 decimals coincide. The cubic root of 4977360 is about 170.7391117678.

The spelling of 4977360 in words is "four million, nine hundred seventy-seven thousand, three hundred sixty".