1032704400 has 480 divisors, whose sum is σ = 4176121600. Its totient is φ = 216760320.

The previous prime is 1032704399. The next prime is 1032704459. The reversal of 1032704400 is 44072301.

1032704400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5350704 + ... + 5350896.

Almost surely, 2^1032704400 is an apocalyptic number.

1032704400 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 1032704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088060800).

1032704400 is an abundant number, since it is smaller than the sum of its proper divisors (3143417200).

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

1032704400 is a wasteful number, since it uses less digits than its factorization.

1032704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 1032704400 is about 32135.7184453685. The cubic root of 1032704400 is about 1010.7847379673.

Adding to 1032704400 its reverse (44072301), we get a palindrome (1076776701).

The spelling of 1032704400 in words is "one billion, thirty-two million, seven hundred four thousand, four hundred".