256151280 has 320 divisors, whose sum is σ = 1007935488. Its totient is φ = 52270080.

The previous prime is 256151249. The next prime is 256151297. The reversal of 256151280 is 82151652.

256151280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256151280² = 131226956491276800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1533757 + ... + 1533923.

Almost surely, 2^256151280 is an apocalyptic number.

256151280 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 256151280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503967744).

256151280 is an abundant number, since it is smaller than the sum of its proper divisors (751784208).

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

256151280 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 256151280 = (121655280)₁₁.

256151280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 256151280 is about 16004.7268017920. The cubic root of 256151280 is about 635.0854701330.

The spelling of 256151280 in words is "two hundred fifty-six million, one hundred fifty-one thousand, two hundred eighty".