4492080 has 120 divisors (see below), whose sum is σ = 16016832. Its totient is φ = 1124352.

The previous prime is 4492069. The next prime is 4492087. The reversal of 4492080 is 802944.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (4492087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12057 + ... + 12423.

Almost surely, 2^4492080 is an apocalyptic number.

4492080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4492080 is the 1224-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4492080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8008416).

4492080 is an abundant number, since it is smaller than the sum of its proper divisors (11524752).

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

4492080 is a wasteful number, since it uses less digits than its factorization.

4492080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4492080 is about 2119.4527595585. The cubic root of 4492080 is about 164.9994490340. Note that the first 3 decimals are identical.

The spelling of 4492080 in words is "four million, four hundred ninety-two thousand, eighty".