4380480 has 210 divisors, whose sum is σ = 16872966. Its totient is φ = 1078272.

The previous prime is 4380463. The next prime is 4380499. The reversal of 4380480 is 840834.

It can be written as a sum of positive squares in 3 ways, for example, as 20736 + 4359744 = 144^2 + 2088^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 336954 + ... + 336966.

Almost surely, 2^4380480 is an apocalyptic number.

4380480 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 4380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436483).

4380480 is an abundant number, since it is smaller than the sum of its proper divisors (12492486).

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

4380480 is a wasteful number, since it uses less digits than its factorization.

4380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4380480 is about 2092.9596269398. The cubic root of 4380480 is about 163.6215744210.

The spelling of 4380480 in words is "four million, three hundred eighty thousand, four hundred eighty".