1078743456 has 288 divisors, whose sum is σ = 3716084736. Its totient is φ = 290304000.

The previous prime is 1078743443. The next prime is 1078743467. The reversal of 1078743456 is 6543478701.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2562126 + ... + 2562546.

It is an arithmetic number, because the mean of its divisors is an integer number (12903072).

Almost surely, 2^1078743456 is an apocalyptic number.

1078743456 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 1078743456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858042368).

1078743456 is an abundant number, since it is smaller than the sum of its proper divisors (2637341280).

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

1078743456 is a wasteful number, since it uses less digits than its factorization.

1078743456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 1078743456 is about 32844.2301782216. The cubic root of 1078743456 is about 1025.5875135888.

The spelling of 1078743456 in words is "one billion, seventy-eight million, seven hundred forty-three thousand, four hundred fifty-six".