4126400 has 42 divisors (see below), whose sum is σ = 10157460. Its totient is φ = 1649920.

The previous prime is 4126399. The next prime is 4126417. The reversal of 4126400 is 46214.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 311 + ... + 2889.

Almost surely, 2^4126400 is an apocalyptic number.

4126400 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 4126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078730).

4126400 is an abundant number, since it is smaller than the sum of its proper divisors (6031060).

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

4126400 is a wasteful number, since it uses less digits than its factorization.

4126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4126400 is about 2031.3542280951. The cubic root of 4126400 is about 160.3948580761.

The spelling of 4126400 in words is "four million, one hundred twenty-six thousand, four hundred".