1034643456 has 432 divisors, whose sum is σ = 3868693920. Its totient is φ = 268738560.

The previous prime is 1034643451. The next prime is 1034643479. The reversal of 1034643456 is 6543464301.

1034643456 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 643 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1034643456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034643451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94058491 + ... + 94058501.

It is an arithmetic number, because the mean of its divisors is an integer number (8955310).

Almost surely, 2^1034643456 is an apocalyptic number.

1034643456 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 1034643456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934346960).

1034643456 is an abundant number, since it is smaller than the sum of its proper divisors (2834050464).

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

1034643456 is an frugal number, since it uses more digits than its factorization.

1034643456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 1034643456 is about 32165.8740904083. The cubic root of 1034643456 is about 1011.4169752846.

The spelling of 1034643456 in words is "one billion, thirty-four million, six hundred forty-three thousand, four hundred fifty-six".