4719120 has 120 divisors (see below), whose sum is σ = 17040576. Its totient is φ = 1058304.

The previous prime is 4719119. The next prime is 4719133. The reversal of 4719120 is 219174.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 89014 + ... + 89066.

Almost surely, 2^4719120 is an apocalyptic number.

4719120 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 4719120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520288).

4719120 is an abundant number, since it is smaller than the sum of its proper divisors (12321456).

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

4719120 is a wasteful number, since it uses less digits than its factorization.

4719120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 4719120 is about 2172.3535623834. The cubic root of 4719120 is about 167.7337051061.

It can be divided in two parts, 471 and 9120, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 4719120 in words is "four million, seven hundred nineteen thousand, one hundred twenty".