4253410656 has 192 divisors, whose sum is σ = 13575340800. Its totient is φ = 1284940800.

The previous prime is 4253410571. The next prime is 4253410669. The reversal of 4253410656 is 6560143524.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4253410656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4951155 + ... + 4952013.

It is an arithmetic number, because the mean of its divisors is an integer number (70704900).

Almost surely, 2^4253410656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4253410656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787670400).

4253410656 is an abundant number, since it is smaller than the sum of its proper divisors (9321930144).

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

4253410656 is a wasteful number, since it uses less digits than its factorization.

4253410656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4253410656 is about 65218.1773434370. The cubic root of 4253410656 is about 1620.2390867978.

The spelling of 4253410656 in words is "four billion, two hundred fifty-three million, four hundred ten thousand, six hundred fifty-six".