4123400 has 48 divisors (see below), whose sum is σ = 9792900. Its totient is φ = 1614080.

The previous prime is 4123387. The next prime is 4123421. The reversal of 4123400 is 43214.

It can be written as a sum of positive squares in 6 ways, for example, as 1387684 + 2735716 = 1178^2 + 1654^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10406 + ... + 10794.

Almost surely, 2^4123400 is an apocalyptic number.

4123400 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 4123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896450).

4123400 is an abundant number, since it is smaller than the sum of its proper divisors (5669500).

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

4123400 is a wasteful number, since it uses less digits than its factorization.

4123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4123400 is about 2030.6156701848. The cubic root of 4123400 is about 160.3559782428.

Adding to 4123400 its reverse (43214), we get a palindrome (4166614).

The spelling of 4123400 in words is "four million, one hundred twenty-three thousand, four hundred".