4148400 has 60 divisors (see below), whose sum is σ = 13292552. Its totient is φ = 1105920.

The previous prime is 4148393. The next prime is 4148401. The reversal of 4148400 is 48414.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529 + ... + 2928.

Almost surely, 2^4148400 is an apocalyptic number.

4148400 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 4148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646276).

4148400 is an abundant number, since it is smaller than the sum of its proper divisors (9144152).

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

4148400 is a wasteful number, since it uses less digits than its factorization.

4148400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4148400 is about 2036.7621363331. The cubic root of 4148400 is about 160.6794026585.

The spelling of 4148400 in words is "four million, one hundred forty-eight thousand, four hundred".