4979600 has 60 divisors (see below), whose sum is σ = 12223920. Its totient is φ = 1948800.

The previous prime is 4979599. The next prime is 4979609. The reversal of 4979600 is 69794.

4979600 = T₃₈₁ + T₃₈₂ + ... + T₄₃₉.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4979609) 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 11 ways as a sum of consecutive naturals, for example, 23495 + ... + 23705.

It is an arithmetic number, because the mean of its divisors is an integer number (203732).

Almost surely, 2^4979600 is an apocalyptic number.

4979600 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 4979600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6111960).

4979600 is an abundant number, since it is smaller than the sum of its proper divisors (7244320).

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

4979600 is a wasteful number, since it uses less digits than its factorization.

4979600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 4979600 is about 2231.5017364994. The cubic root of 4979600 is about 170.7647209429.

The spelling of 4979600 in words is "four million, nine hundred seventy-nine thousand, six hundred".