1129464000 has 672 divisors, whose sum is σ = 4846173696. Its totient is φ = 255052800.

The previous prime is 1129463989. The next prime is 1129464067. The reversal of 1129464000 is 4649211.

1129464000 is a `hidden beast` number, since 1 + 12 + 9 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 13607959 + ... + 13608041.

It is an arithmetic number, because the mean of its divisors is an integer number (7211568).

Almost surely, 2^1129464000 is an apocalyptic number.

1129464000 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 1129464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423086848).

1129464000 is an abundant number, since it is smaller than the sum of its proper divisors (3716709696).

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

1129464000 is an frugal number, since it uses more digits than its factorization.

1129464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1129464000 is about 33607.4991631332. The cubic root of 1129464000 is about 1041.4157247963.

The spelling of 1129464000 in words is "one billion, one hundred twenty-nine million, four hundred sixty-four thousand".