4937280 has 112 divisors (see below), whose sum is σ = 16215360. Its totient is φ = 1271808.

The previous prime is 4937267. The next prime is 4937281. The reversal of 4937280 is 827394.

4937280 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4937281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35451 + ... + 35589.

It is an arithmetic number, because the mean of its divisors is an integer number (144780).

Almost surely, 2^4937280 is an apocalyptic number.

4937280 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 4937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107680).

4937280 is an abundant number, since it is smaller than the sum of its proper divisors (11278080).

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

4937280 is a wasteful number, since it uses less digits than its factorization.

4937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 4937280 is about 2221.9990999098. Note that the first 3 decimals coincide. The cubic root of 4937280 is about 170.2795860701.

The spelling of 4937280 in words is "four million, nine hundred thirty-seven thousand, two hundred eighty".