256464120 has 128 divisors (see below), whose sum is σ = 848413440. Its totient is φ = 61501440.

The previous prime is 256464119. The next prime is 256464121. The reversal of 256464120 is 21464652.

It is an interprime number because it is at equal distance from previous prime (256464119) and next prime (256464121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256464121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127039 + ... + 129041.

It is an arithmetic number, because the mean of its divisors is an integer number (6628230).

Almost surely, 2^256464120 is an apocalyptic number.

256464120 is a gapful number since it is divisible by the number (20) 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 256464120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424206720).

256464120 is an abundant number, since it is smaller than the sum of its proper divisors (591949320).

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

256464120 is a wasteful number, since it uses less digits than its factorization.

256464120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 256464120 is about 16014.4971822408. The cubic root of 256464120 is about 635.3439102625.

The spelling of 256464120 in words is "two hundred fifty-six million, four hundred sixty-four thousand, one hundred twenty".