4054784 has 36 divisors (see below), whose sum is σ = 8290464. Its totient is φ = 1978368.

The previous prime is 4054763. The next prime is 4054807. The reversal of 4054784 is 4874504.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 4 + 0 + 5⁹ + 4³ + 7³ + 8⁷ + 4⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 4054784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11864 + ... + 12200.

Almost surely, 2^4054784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4054784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145232).

4054784 is an abundant number, since it is smaller than the sum of its proper divisors (4235680).

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

4054784 is an equidigital number, since it uses as much as digits as its factorization.

4054784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 4054784 is about 2013.6494233108. The cubic root of 4054784 is about 159.4615231330.

Adding to 4054784 its product of nonzero digits (17920), we get a palindrome (4072704).

The spelling of 4054784 in words is "four million, fifty-four thousand, seven hundred eighty-four".