383485132800 has 1620 divisors, whose sum is σ = 1752264082296. Its totient is φ = 79272345600.

The previous prime is 383485132799. The next prime is 383485132819. The reversal of 383485132800 is 8231584383.

383485132800 is a `hidden beast` number, since 3 + 83 + 485 + 13 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1986969504 + ... + 1986969696.

Almost surely, 2^383485132800 is an apocalyptic number.

383485132800 is a gapful number since it is divisible by the number (30) 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 383485132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876132041148).

383485132800 is an abundant number, since it is smaller than the sum of its proper divisors (1368778949496).

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

383485132800 is a wasteful number, since it uses less digits than its factorization.

383485132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 383485132800 in words is "three hundred eighty-three billion, four hundred eighty-five million, one hundred thirty-two thousand, eight hundred".