4977280 has 128 divisors (see below), whose sum is σ = 14981760. Its totient is φ = 1536000.

The previous prime is 4977263. The next prime is 4977317. The reversal of 4977280 is 827794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49230 + ... + 49330.

It is an arithmetic number, because the mean of its divisors is an integer number (117045).

Almost surely, 2^4977280 is an apocalyptic number.

4977280 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 4977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490880).

4977280 is an abundant number, since it is smaller than the sum of its proper divisors (10004480).

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

4977280 is a wasteful number, since it uses less digits than its factorization.

4977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 4977280 is about 2230.9818466317. The cubic root of 4977280 is about 170.7381970123.

It can be divided in two parts, 497 and 7280, that added together give a palindrome (7777).

The spelling of 4977280 in words is "four million, nine hundred seventy-seven thousand, two hundred eighty".