4748100 has 216 divisors, whose sum is σ = 17811360. Its totient is φ = 967680.

The previous prime is 4748077. The next prime is 4748113. The reversal of 4748100 is 18474.

4748100 = T₂₆₁ + T₂₆₂ + ... + T₃₅₈.

It is a super-2 number, since 2×4748100² = 45088907220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249891 + ... + 249909.

It is an arithmetic number, because the mean of its divisors is an integer number (82460).

Almost surely, 2^4748100 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 4748100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905680).

4748100 is an abundant number, since it is smaller than the sum of its proper divisors (13063260).

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

4748100 is a wasteful number, since it uses less digits than its factorization.

4748100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4748100 is about 2179.0135382783. The cubic root of 4748100 is about 168.0763541815.

The spelling of 4748100 in words is "four million, seven hundred forty-eight thousand, one hundred".