4498000 has 80 divisors (see below), whose sum is σ = 11780496. Its totient is φ = 1651200.

The previous prime is 4497991. The next prime is 4498001. The reversal of 4498000 is 8944.

4498000 = T₁₃₆ + T₁₃₇ + ... + T₃₀₈.

It can be written as a sum of positive squares in 8 ways, for example, as 1272384 + 3225616 = 1128^2 + 1796^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4498001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25914 + ... + 26086.

Almost surely, 2^4498000 is an apocalyptic number.

4498000 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 4498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890248).

4498000 is an abundant number, since it is smaller than the sum of its proper divisors (7282496).

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

4498000 is a wasteful number, since it uses less digits than its factorization.

4498000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4498000 is about 2120.8488866489. The cubic root of 4498000 is about 165.0719001000.

The spelling of 4498000 in words is "four million, four hundred ninety-eight thousand".