256244472 has 192 divisors, whose sum is σ = 820834560. Its totient is φ = 74131200.

The previous prime is 256244459. The next prime is 256244473. The reversal of 256244472 is 274442652.

256244472 is a `hidden beast` number, since 25 + 624 + 4 + 4 + 7 + 2 = 666.

It is a super-2 number, since 2×256244472² = 131322458861117568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (107520) is a multiple of the sum of its prime divisors (560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256244473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491572 + ... + 492092.

It is an arithmetic number, because the mean of its divisors is an integer number (4275180).

Almost surely, 2^256244472 is an apocalyptic number.

256244472 is a gapful number since it is divisible by the number (22) 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 256244472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410417280).

256244472 is an abundant number, since it is smaller than the sum of its proper divisors (564590088).

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

256244472 is a wasteful number, since it uses less digits than its factorization.

256244472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 560 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 256244472 is about 16007.6379269398. The cubic root of 256244472 is about 635.1624789343.

The spelling of 256244472 in words is "two hundred fifty-six million, two hundred forty-four thousand, four hundred seventy-two".