1278932256 has 288 divisors, whose sum is σ = 4423386240. Its totient is φ = 342392832.

The previous prime is 1278932251. The next prime is 1278932261. The reversal of 1278932256 is 6522398721.

1278932256 is a `hidden beast` number, since 1 + 278 + 9 + 322 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (1278932251) and next prime (1278932261).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1278932251) 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, 6626496 + ... + 6626688.

It is an arithmetic number, because the mean of its divisors is an integer number (15358980).

Almost surely, 2^1278932256 is an apocalyptic number.

1278932256 is a gapful number since it is divisible by the number (16) 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 1278932256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211693120).

1278932256 is an abundant number, since it is smaller than the sum of its proper divisors (3144453984).

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

1278932256 is a wasteful number, since it uses less digits than its factorization.

1278932256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 397 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1278932256 is about 35762.1623507304. The cubic root of 1278932256 is about 1085.4650560760.

The spelling of 1278932256 in words is "one billion, two hundred seventy-eight million, nine hundred thirty-two thousand, two hundred fifty-six".