256121448 has 64 divisors (see below), whose sum is σ = 705369600. Its totient is φ = 76850880.

The previous prime is 256121447. The next prime is 256121477. The reversal of 256121448 is 844121652.

It is a happy number.

It is a super-2 number, since 2×256121448² = 131196392251233408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (256121447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22483 + ... + 31901.

It is an arithmetic number, because the mean of its divisors is an integer number (11021400).

Almost surely, 2^256121448 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 256121448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352684800).

256121448 is an abundant number, since it is smaller than the sum of its proper divisors (449248152).

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

256121448 is a wasteful number, since it uses less digits than its factorization.

256121448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9542 (or 9538 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 256121448 is about 16003.7947999842. The cubic root of 256121448 is about 635.0608146438.

The spelling of 256121448 in words is "two hundred fifty-six million, one hundred twenty-one thousand, four hundred forty-eight".