256801148 has 24 divisors (see below), whose sum is σ = 479902080. Its totient is φ = 119972160.

The previous prime is 256801147. The next prime is 256801199. The reversal of 256801148 is 841108652.

It is a super-2 number, since 2×256801148² = 131893659228235808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256801147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32111 + ... + 39302.

It is an arithmetic number, because the mean of its divisors is an integer number (19995920).

Almost surely, 2^256801148 is an apocalyptic number.

It is an amenable number.

256801148 is a deficient number, since it is larger than the sum of its proper divisors (223100932).

256801148 is a wasteful number, since it uses less digits than its factorization.

256801148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71477 (or 71475 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 256801148 is about 16025.0163182444. The cubic root of 256801148 is about 635.6220972697.

The spelling of 256801148 in words is "two hundred fifty-six million, eight hundred one thousand, one hundred forty-eight".