4754880 has 168 divisors, whose sum is σ = 17751552. Its totient is φ = 1161216.

The previous prime is 4754863. The next prime is 4754903. The reversal of 4754880 is 884574.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37377 + ... + 37503.

It is an arithmetic number, because the mean of its divisors is an integer number (105664).

Almost surely, 2^4754880 is an apocalyptic number.

4754880 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 4754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8875776).

4754880 is an abundant number, since it is smaller than the sum of its proper divisors (12996672).

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

4754880 is a wasteful number, since it uses less digits than its factorization.

4754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4754880 is about 2180.5687331520. The cubic root of 4754880 is about 168.1563170933.

The spelling of 4754880 in words is "four million, seven hundred fifty-four thousand, eight hundred eighty".