4098400 has 72 divisors (see below), whose sum is σ = 10311840. Its totient is φ = 1589760.

The previous prime is 4098389. The next prime is 4098403. The reversal of 4098400 is 48904.

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 (4098403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37546 + ... + 37654.

It is an arithmetic number, because the mean of its divisors is an integer number (143220).

Almost surely, 2^4098400 is an apocalyptic number.

4098400 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 4098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155920).

4098400 is an abundant number, since it is smaller than the sum of its proper divisors (6213440).

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

4098400 is a wasteful number, since it uses less digits than its factorization.

4098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

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

The square root of 4098400 is about 2024.4505427399. The cubic root of 4098400 is about 160.0312438985.

The spelling of 4098400 in words is "four million, ninety-eight thousand, four hundred".