4290480 has 120 divisors (see below), whose sum is σ = 14798160. Its totient is φ = 1113600.

The previous prime is 4290469. The next prime is 4290487. The reversal of 4290480 is 840924.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (4290487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42430 + ... + 42530.

It is an arithmetic number, because the mean of its divisors is an integer number (123318).

Almost surely, 2^4290480 is an apocalyptic number.

4290480 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 4290480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399080).

4290480 is an abundant number, since it is smaller than the sum of its proper divisors (10507680).

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

4290480 is a wasteful number, since it uses less digits than its factorization.

4290480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4290480 is about 2071.3473875717. The cubic root of 4290480 is about 162.4932383774.

The spelling of 4290480 in words is "four million, two hundred ninety thousand, four hundred eighty".