4054000 has 40 divisors (see below), whose sum is σ = 9807408. Its totient is φ = 1620800.

The previous prime is 4053991. The next prime is 4054009. The reversal of 4054000 is 4504.

It is an interprime number because it is at equal distance from previous prime (4053991) and next prime (4054009).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 987 + ... + 3013.

Almost surely, 2^4054000 is an apocalyptic number.

4054000 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 4054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903704).

4054000 is an abundant number, since it is smaller than the sum of its proper divisors (5753408).

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

4054000 is a wasteful number, since it uses less digits than its factorization.

4054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 4054000 is about 2013.4547424762. The cubic root of 4054000 is about 159.4512450769.

Adding to 4054000 its reverse (4504), we get a palindrome (4058504).

The spelling of 4054000 in words is "four million, fifty-four thousand", and thus it is an eban number.