4096400 has 180 divisors, whose sum is σ = 13146480. Its totient is φ = 1209600.

The previous prime is 4096399. The next prime is 4096427. The reversal of 4096400 is 46904.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215591 + ... + 215609.

It is an arithmetic number, because the mean of its divisors is an integer number (73036).

Almost surely, 2^4096400 is an apocalyptic number.

4096400 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 4096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573240).

4096400 is an abundant number, since it is smaller than the sum of its proper divisors (9050080).

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

4096400 is a wasteful number, since it uses less digits than its factorization.

4096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4096400 is about 2023.9565212721. The cubic root of 4096400 is about 160.0052081638.

It can be divided in two parts, 4096 and 400, that multiplied together give a square (1638400 = 1280²).

The spelling of 4096400 in words is "four million, ninety-six thousand, four hundred".