4958100 has 108 divisors (see below), whose sum is σ = 17783584. Its totient is φ = 1131840.

The previous prime is 4958021. The next prime is 4958131. The reversal of 4958100 is 18594.

It is a super-2 number, since 2×4958100² = 49165511220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5907 + ... + 6693.

Almost surely, 2^4958100 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 4958100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8891792).

4958100 is an abundant number, since it is smaller than the sum of its proper divisors (12825484).

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

4958100 is a wasteful number, since it uses less digits than its factorization.

4958100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 4958100 is about 2226.6791416816. The cubic root of 4958100 is about 170.5186008952.

The spelling of 4958100 in words is "four million, nine hundred fifty-eight thousand, one hundred".