4298400 has 144 divisors (see below), whose sum is σ = 15624000. Its totient is φ = 1140480.

The previous prime is 4298387. The next prime is 4298417. The reversal of 4298400 is 48924.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21501 + ... + 21699.

It is an arithmetic number, because the mean of its divisors is an integer number (108500).

Almost surely, 2^4298400 is an apocalyptic number.

4298400 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 4298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812000).

4298400 is an abundant number, since it is smaller than the sum of its proper divisors (11325600).

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

4298400 is a wasteful number, since it uses less digits than its factorization.

4298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4298400 is about 2073.2583051805. The cubic root of 4298400 is about 162.5931615702.

The spelling of 4298400 in words is "four million, two hundred ninety-eight thousand, four hundred".