4178880 has 84 divisors (see below), whose sum is σ = 14383512. Its totient is φ = 1113600.

The previous prime is 4178873. The next prime is 4178887. The reversal of 4178880 is 888714.

It is an interprime number because it is at equal distance from previous prime (4178873) and next prime (4178887).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4178887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2155 + ... + 3605.

Almost surely, 2^4178880 is an apocalyptic number.

4178880 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 4178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7191756).

4178880 is an abundant number, since it is smaller than the sum of its proper divisors (10204632).

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

4178880 is a wasteful number, since it uses less digits than its factorization.

4178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 4178880 is about 2044.2309067226. The cubic root of 4178880 is about 161.0719686475.

The spelling of 4178880 in words is "four million, one hundred seventy-eight thousand, eight hundred eighty".