4949100 has 180 divisors, whose sum is σ = 17644704. Its totient is φ = 1192320.

The previous prime is 4949093. The next prime is 4949107. The reversal of 4949100 is 19494.

It is an interprime number because it is at equal distance from previous prime (4949093) and next prime (4949107).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×4949100³ (a number of 21 digits) contains 333 as substring.

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 (4949107) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105277 + ... + 105323.

Almost surely, 2^4949100 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 4949100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8822352).

4949100 is an abundant number, since it is smaller than the sum of its proper divisors (12695604).

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

4949100 is a wasteful number, since it uses less digits than its factorization.

4949100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4949100 is about 2224.6572769755. The cubic root of 4949100 is about 170.4153626300.

The spelling of 4949100 in words is "four million, nine hundred forty-nine thousand, one hundred".