4253082720 has 192 divisors, whose sum is σ = 14043456000. Its totient is φ = 1079902208.

The previous prime is 4253082709. The next prime is 4253082731. The reversal of 4253082720 is 272803524.

It is an interprime number because it is at equal distance from previous prime (4253082709) and next prime (4253082731).

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, 2836531 + ... + 2838029.

It is an arithmetic number, because the mean of its divisors is an integer number (73143000).

Almost surely, 2^4253082720 is an apocalyptic number.

4253082720 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 4253082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021728000).

4253082720 is an abundant number, since it is smaller than the sum of its proper divisors (9790373280).

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

4253082720 is a wasteful number, since it uses less digits than its factorization.

4253082720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 4253082720 is about 65215.6631492773. The cubic root of 4253082720 is about 1620.1974458322.

It can be divided in two parts, 42530 and 82720, that added together give a triangular number (125250 = T₅₀₀).

The spelling of 4253082720 in words is "four billion, two hundred fifty-three million, eighty-two thousand, seven hundred twenty".