1324468800 has 672 divisors, whose sum is σ = 5321564160. Its totient is φ = 319334400.

The previous prime is 1324468771. The next prime is 1324468801. The reversal of 1324468800 is 88644231.

1324468800 is a `hidden beast` number, since 132 + 446 + 8 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324468801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30801579 + ... + 30801621.

Almost surely, 2^1324468800 is an apocalyptic number.

1324468800 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 1324468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660782080).

1324468800 is an abundant number, since it is smaller than the sum of its proper divisors (3997095360).

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

1324468800 is a wasteful number, since it uses less digits than its factorization.

1324468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1324468800 is about 36393.2521217876. The cubic root of 1324468800 is about 1098.1978203701.

It can be divided in two parts, 132446 and 8800, that added together give a triangular number (141246 = T₅₃₁).

The spelling of 1324468800 in words is "one billion, three hundred twenty-four million, four hundred sixty-eight thousand, eight hundred".