4790880 has 96 divisors (see below), whose sum is σ = 16783200. Its totient is φ = 1276416.

The previous prime is 4790857. The next prime is 4790893. The reversal of 4790880 is 880974.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 13.

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, 3766 + ... + 4874.

It is an arithmetic number, because the mean of its divisors is an integer number (174825).

Almost surely, 2^4790880 is an apocalyptic number.

4790880 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 4790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8391600).

4790880 is an abundant number, since it is smaller than the sum of its proper divisors (11992320).

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

4790880 is a wasteful number, since it uses less digits than its factorization.

4790880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4790880 is about 2188.8078947226. The cubic root of 4790880 is about 168.5796305225.

The spelling of 4790880 in words is "four million, seven hundred ninety thousand, eight hundred eighty".