4088480 has 96 divisors (see below), whose sum is σ = 11104128. Its totient is φ = 1408000.

The previous prime is 4088471. The next prime is 4088521. The reversal of 4088480 is 848804.

Added to its reverse (848804) it gives a square (4937284 = 2222²).

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

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, 40430 + ... + 40530.

It is an arithmetic number, because the mean of its divisors is an integer number (115668).

Almost surely, 2^4088480 is an apocalyptic number.

4088480 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 4088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552064).

4088480 is an abundant number, since it is smaller than the sum of its proper divisors (7015648).

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

4088480 is a wasteful number, since it uses less digits than its factorization.

4088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4088480 is about 2021.9990108801. Note that the first 3 decimals coincide. The cubic root of 4088480 is about 159.9020233492.

4088480 divided by its sum of digits (32) gives a triangular number (127765 = T₅₀₅).

Adding to 4088480 its reverse (848804), we get a square (4937284 = 2222²).

It can be divided in two parts, 408 and 8480, that added together give a palindrome (8888).

The spelling of 4088480 in words is "four million, eighty-eight thousand, four hundred eighty".