4976100 has 144 divisors (see below), whose sum is σ = 17012800. Its totient is φ = 1244160.

The previous prime is 4976063. The next prime is 4976107. The reversal of 4976100 is 16794.

4976100 is a `hidden beast` number, since 49 + 7 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4976107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51252 + ... + 51348.

Almost surely, 2^4976100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4976100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8506400).

4976100 is an abundant number, since it is smaller than the sum of its proper divisors (12036700).

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

4976100 is a wasteful number, since it uses less digits than its factorization.

4976100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4976100 is about 2230.7173734026. The cubic root of 4976100 is about 170.7247032302.

The spelling of 4976100 in words is "four million, nine hundred seventy-six thousand, one hundred".