4179360 has 48 divisors (see below), whose sum is σ = 13166496. Its totient is φ = 1114368.

The previous prime is 4179359. The next prime is 4179361. The reversal of 4179360 is 639714.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4179359) and next prime (4179361).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (4179361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3874 + ... + 4833.

It is an arithmetic number, because the mean of its divisors is an integer number (274302).

Almost surely, 2^4179360 is an apocalyptic number.

4179360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4179360 is an abundant number, since it is smaller than the sum of its proper divisors (8987136).

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

4179360 is a wasteful number, since it uses less digits than its factorization.

4179360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 4179360 is about 2044.3483069184. The cubic root of 4179360 is about 161.0781354980.

It can be divided in two parts, 41 and 79360, that added together give a triangular number (79401 = T₃₉₈).

The spelling of 4179360 in words is "four million, one hundred seventy-nine thousand, three hundred sixty".