4286400 has 168 divisors, whose sum is σ = 15118080. Its totient is φ = 1059840.

The previous prime is 4286393. The next prime is 4286417. The reversal of 4286400 is 46824.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 91177 + ... + 91223.

Almost surely, 2^4286400 is an apocalyptic number.

4286400 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 4286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559040).

4286400 is an abundant number, since it is smaller than the sum of its proper divisors (10831680).

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

4286400 is a wasteful number, since it uses less digits than its factorization.

4286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4286400 is about 2070.3622871372. The cubic root of 4286400 is about 162.4417147971.

The spelling of 4286400 in words is "four million, two hundred eighty-six thousand, four hundred".