4496160 has 192 divisors, whose sum is σ = 16329600. Its totient is φ = 1032192.

The previous prime is 4496159. The next prime is 4496171. The reversal of 4496160 is 616944.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155026 + ... + 155054.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

Almost surely, 2^4496160 is an apocalyptic number.

4496160 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 4496160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164800).

4496160 is an abundant number, since it is smaller than the sum of its proper divisors (11833440).

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

4496160 is a wasteful number, since it uses less digits than its factorization.

4496160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4496160 is about 2120.4150537100. The cubic root of 4496160 is about 165.0493883376.

It can be divided in two parts, 4496 and 160, that added together give a triangular number (4656 = T₉₆).

The spelling of 4496160 in words is "four million, four hundred ninety-six thousand, one hundred sixty".