4034480 has 80 divisors (see below), whose sum is σ = 10177920. Its totient is φ = 1483776.

The previous prime is 4034477. The next prime is 4034489. The reversal of 4034480 is 844304.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4034489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85817 + ... + 85863.

It is an arithmetic number, because the mean of its divisors is an integer number (127224).

Almost surely, 2^4034480 is an apocalyptic number.

4034480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4034480 is the 1160-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088960).

4034480 is an abundant number, since it is smaller than the sum of its proper divisors (6143440).

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

4034480 is a wasteful number, since it uses less digits than its factorization.

4034480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4034480 is about 2008.6015035342. The cubic root of 4034480 is about 159.1949141074.

Adding to 4034480 its reverse (844304), we get a palindrome (4878784).

The spelling of 4034480 in words is "four million, thirty-four thousand, four hundred eighty".