1063434400 has 144 divisors (see below), whose sum is σ = 3023806464. Its totient is φ = 357626880.

The previous prime is 1063434367. The next prime is 1063434401. The reversal of 1063434400 is 44343601.

It is a happy number.

1063434400 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-3 number, since 3×1063434400³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1063434401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295009 + ... + 298591.

It is an arithmetic number, because the mean of its divisors is an integer number (20998656).

Almost surely, 2^1063434400 is an apocalyptic number.

1063434400 is a gapful number since it is divisible by the number (10) 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 1063434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511903232).

1063434400 is an abundant number, since it is smaller than the sum of its proper divisors (1960372064).

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

1063434400 is a wasteful number, since it uses less digits than its factorization.

1063434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 1063434400 is about 32610.3419178640. The cubic root of 1063434400 is about 1020.7128171301.

It can be divided in two parts, 106 and 3434400, that multiplied together give a square (364046400 = 19080²).

The spelling of 1063434400 in words is "one billion, sixty-three million, four hundred thirty-four thousand, four hundred".