1146704000 has 256 divisors, whose sum is σ = 3174444000. Its totient is φ = 409190400.

The previous prime is 1146703967. The next prime is 1146704029. The reversal of 1146704000 is 4076411.

It can be written as a sum of positive squares in 16 ways, for example, as 172764736 + 973939264 = 13144^2 + 31208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7695926 + ... + 7696074.

Almost surely, 2^1146704000 is an apocalyptic number.

1146704000 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 1146704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587222000).

1146704000 is an abundant number, since it is smaller than the sum of its proper divisors (2027740000).

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

1146704000 is a wasteful number, since it uses less digits than its factorization.

1146704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 1146704000 is about 33863.0181761756. The cubic root of 1146704000 is about 1046.6876722810.

The spelling of 1146704000 in words is "one billion, one hundred forty-six million, seven hundred four thousand".