4054400 has 96 divisors (see below), whose sum is σ = 11509680. Its totient is φ = 1382400.

The previous prime is 4054387. The next prime is 4054411. The reversal of 4054400 is 44504.

It is a congruent number.

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, 22310 + ... + 22490.

Almost surely, 2^4054400 is an apocalyptic number.

4054400 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 4054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754840).

4054400 is an abundant number, since it is smaller than the sum of its proper divisors (7455280).

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

4054400 is a wasteful number, since it uses less digits than its factorization.

4054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4054400 is about 2013.5540717845. The cubic root of 4054400 is about 159.4564891486.

Adding to 4054400 its reverse (44504), we get a palindrome (4098904).

The spelling of 4054400 in words is "four million, fifty-four thousand, four hundred".