4206400 has 84 divisors (see below), whose sum is σ = 11338560. Its totient is φ = 1523200.

The previous prime is 4206383. The next prime is 4206409. The reversal of 4206400 is 46024.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4206409) 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 11 ways as a sum of consecutive naturals, for example, 17481 + ... + 17719.

Almost surely, 2^4206400 is an apocalyptic number.

4206400 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 4206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669280).

4206400 is an abundant number, since it is smaller than the sum of its proper divisors (7132160).

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

4206400 is a wasteful number, since it uses less digits than its factorization.

4206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4206400 is about 2050.9509989271. The cubic root of 4206400 is about 161.4247749425.

The spelling of 4206400 in words is "four million, two hundred six thousand, four hundred".