4958800 has 180 divisors, whose sum is σ = 15775776. Its totient is φ = 1478400.

The previous prime is 4958771. The next prime is 4958801. The reversal of 4958800 is 88594.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4958801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215589 + ... + 215611.

Almost surely, 2^4958800 is an apocalyptic number.

4958800 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 4958800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7887888).

4958800 is an abundant number, since it is smaller than the sum of its proper divisors (10816976).

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

4958800 is a wasteful number, since it uses less digits than its factorization.

4958800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 4958800 is about 2226.8363208822. The cubic root of 4958800 is about 170.5266252999.

It can be divided in two parts, 49 and 58800, that multiplied together give a triangular number (2881200 = T₂₄₀₀).

The spelling of 4958800 in words is "four million, nine hundred fifty-eight thousand, eight hundred".