4358480 has 80 divisors (see below), whose sum is σ = 11915904. Its totient is φ = 1451520.

The previous prime is 4358461. The next prime is 4358503. The reversal of 4358480 is 848534.

4358480 = 116² + 117² + ... + 244².

4358480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23990 + ... + 24170.

Almost surely, 2^4358480 is an apocalyptic number.

4358480 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 4358480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957952).

4358480 is an abundant number, since it is smaller than the sum of its proper divisors (7557424).

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

4358480 is a wasteful number, since it uses less digits than its factorization.

4358480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 4358480 is about 2087.6972960657. The cubic root of 4358480 is about 163.3471967501.

The spelling of 4358480 in words is "four million, three hundred fifty-eight thousand, four hundred eighty".