4916000 has 48 divisors (see below), whose sum is σ = 12088440. Its totient is φ = 1964800.

The previous prime is 4915987. The next prime is 4916027. The reversal of 4916000 is 6194.

It can be written as a sum of positive squares in 4 ways, for example, as 3055504 + 1860496 = 1748^2 + 1364^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3386 + ... + 4614.

Almost surely, 2^4916000 is an apocalyptic number.

4916000 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 4916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044220).

4916000 is an abundant number, since it is smaller than the sum of its proper divisors (7172440).

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

4916000 is a wasteful number, since it uses less digits than its factorization.

4916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 4916000 is about 2217.2054483065. The cubic root of 4916000 is about 170.0345950356.

The spelling of 4916000 in words is "four million, nine hundred sixteen thousand".