4842720 has 192 divisors, whose sum is σ = 18144000. Its totient is φ = 1202688.

The previous prime is 4842709. The next prime is 4842731. The reversal of 4842720 is 272484.

4842720 = T₁₅₉ + T₁₆₀ + ... + T₃₂₀.

It is an interprime number because it is at equal distance from previous prime (4842709) and next prime (4842731).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82051 + ... + 82109.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

Almost surely, 2^4842720 is an apocalyptic number.

4842720 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 4842720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072000).

4842720 is an abundant number, since it is smaller than the sum of its proper divisors (13301280).

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

4842720 is a wasteful number, since it uses less digits than its factorization.

4842720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4842720 is about 2200.6180949906. The cubic root of 4842720 is about 169.1854924436.

It can be divided in two parts, 4 and 842720, that added together give a square (842724 = 918²).

The spelling of 4842720 in words is "four million, eight hundred forty-two thousand, seven hundred twenty".