4176480 has 192 divisors, whose sum is σ = 16547328. Its totient is φ = 860160.

The previous prime is 4176457. The next prime is 4176517. The reversal of 4176480 is 846714.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 36904 + ... + 37016.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

Almost surely, 2^4176480 is an apocalyptic number.

4176480 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 4176480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273664).

4176480 is an abundant number, since it is smaller than the sum of its proper divisors (12370848).

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

4176480 is a wasteful number, since it uses less digits than its factorization.

4176480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4176480 is about 2043.6438045804. The cubic root of 4176480 is about 161.0411273094.

It can be divided in two parts, 4176 and 480, that added together give a triangular number (4656 = T₉₆).

The spelling of 4176480 in words is "four million, one hundred seventy-six thousand, four hundred eighty".