4492880 has 80 divisors (see below), whose sum is σ = 12213504. Its totient is φ = 1505280.

The previous prime is 4492877. The next prime is 4492919. The reversal of 4492880 is 882944.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4492880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39704 + ... + 39816.

Almost surely, 2^4492880 is an apocalyptic number.

4492880 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 4492880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106752).

4492880 is an abundant number, since it is smaller than the sum of its proper divisors (7720624).

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

4492880 is a wasteful number, since it uses less digits than its factorization.

4492880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 4492880 is about 2119.6414791186. The cubic root of 4492880 is about 165.0092434369.

The spelling of 4492880 in words is "four million, four hundred ninety-two thousand, eight hundred eighty".