9152452800 has 252 divisors, whose sum is σ = 32623588296. Its totient is φ = 2433638400.

The previous prime is 9152452783. The next prime is 9152452819. The reversal of 9152452800 is 82542519.

9152452800 is a `hidden beast` number, since 9 + 1 + 524 + 52 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6724120 + ... + 6725480.

Almost surely, 2^9152452800 is an apocalyptic number.

9152452800 is a gapful number since it is divisible by the number (90) 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 9152452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311794148).

9152452800 is an abundant number, since it is smaller than the sum of its proper divisors (23471135496).

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

9152452800 is a wasteful number, since it uses less digits than its factorization.

9152452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 9152452800 is about 95668.4524804285. The cubic root of 9152452800 is about 2091.7631085902.

The spelling of 9152452800 in words is "nine billion, one hundred fifty-two million, four hundred fifty-two thousand, eight hundred".