385291468800 has 1620 divisors, whose sum is σ = 1686027295680. Its totient is φ = 86951854080.

The previous prime is 385291468741. The next prime is 385291468819. The reversal of 385291468800 is 8864192583.

385291468800 is a `hidden beast` number, since 3 + 85 + 29 + 1 + 468 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×385291468800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4877107161 + ... + 4877107239.

Almost surely, 2^385291468800 is an apocalyptic number.

385291468800 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 385291468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843013647840).

385291468800 is an abundant number, since it is smaller than the sum of its proper divisors (1300735826880).

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

385291468800 is an frugal number, since it uses more digits than its factorization.

385291468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 385291468800 in words is "three hundred eighty-five billion, two hundred ninety-one million, four hundred sixty-eight thousand, eight hundred".