4970880 has 96 divisors (see below), whose sum is σ = 17184960. Its totient is φ = 1324032.

The previous prime is 4970873. The next prime is 4970887. The reversal of 4970880 is 880794.

It is an interprime number because it is at equal distance from previous prime (4970873) and next prime (4970887).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4970887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5329 + ... + 6191.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

Almost surely, 2^4970880 is an apocalyptic number.

4970880 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 4970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592480).

4970880 is an abundant number, since it is smaller than the sum of its proper divisors (12214080).

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

4970880 is a wasteful number, since it uses less digits than its factorization.

4970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 873 counting only the distinct ones).

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

The square root of 4970880 is about 2229.5470391988. The cubic root of 4970880 is about 170.6649847925.

The spelling of 4970880 in words is "four million, nine hundred seventy thousand, eight hundred eighty".