1453132800 has 792 divisors, whose sum is σ = 6414741216. Its totient is φ = 306708480.

The previous prime is 1453132799. The next prime is 1453132819. The reversal of 1453132800 is 82313541.

It is a happy number.

1453132800 is a `hidden beast` number, since 1 + 453 + 132 + 80 + 0 = 666.

It is a super-2 number, since 2×1453132800² = 4223189868871680000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27417574 + ... + 27417626.

Almost surely, 2^1453132800 is an apocalyptic number.

1453132800 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 1453132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207370608).

1453132800 is an abundant number, since it is smaller than the sum of its proper divisors (4961608416).

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

1453132800 is a wasteful number, since it uses less digits than its factorization.

1453132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1453132800 is about 38119.9790136354. The cubic root of 1453132800 is about 1132.6657506328.

The spelling of 1453132800 in words is "one billion, four hundred fifty-three million, one hundred thirty-two thousand, eight hundred".