4274624256 has 144 divisors (see below), whose sum is σ = 13686624000. Its totient is φ = 1157013504.

The previous prime is 4274624231. The next prime is 4274624309. The reversal of 4274624256 is 6524264724.

4274624256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81220 + ... + 123068.

It is an arithmetic number, because the mean of its divisors is an integer number (95046000).

Almost surely, 2^4274624256 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 4274624256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6843312000).

4274624256 is an abundant number, since it is smaller than the sum of its proper divisors (9411999744).

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

4274624256 is a wasteful number, since it uses less digits than its factorization.

4274624256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41894 (or 41880 counting only the distinct ones).

The product of its digits is 645120, while the sum is 42.

The square root of 4274624256 is about 65380.6107037859. The cubic root of 4274624256 is about 1622.9282323078.

The spelling of 4274624256 in words is "four billion, two hundred seventy-four million, six hundred twenty-four thousand, two hundred fifty-six".