385490019600 has 1440 divisors, whose sum is σ = 1677380140800. Its totient is φ = 80024371200.

The previous prime is 385490019589. The next prime is 385490019601. The reversal of 385490019600 is 6910094583.

It is a happy number.

385490019600 is a `hidden beast` number, since 38 + 5 + 4 + 9 + 0 + 0 + 1 + 9 + 600 = 666.

It is a super-2 number, since 2×385490019600² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (385490019601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1433048266 + ... + 1433048534.

It is an arithmetic number, because the mean of its divisors is an integer number (1164847320).

Almost surely, 2^385490019600 is an apocalyptic number.

385490019600 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 385490019600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838690070400).

385490019600 is an abundant number, since it is smaller than the sum of its proper divisors (1291890121200).

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

385490019600 is a wasteful number, since it uses less digits than its factorization.

385490019600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 385490019600 in words is "three hundred eighty-five billion, four hundred ninety million, nineteen thousand, six hundred".