384487412400 has 1440 divisors, whose sum is σ = 1742639575040. Its totient is φ = 76232171520.

The previous prime is 384487412371. The next prime is 384487412423. The reversal of 384487412400 is 4214784483.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1388041062 + ... + 1388041338.

Almost surely, 2^384487412400 is an apocalyptic number.

384487412400 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 384487412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871319787520).

384487412400 is an abundant number, since it is smaller than the sum of its proper divisors (1358152162640).

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

384487412400 is a wasteful number, since it uses less digits than its factorization.

384487412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 384487412400 in words is "three hundred eighty-four billion, four hundred eighty-seven million, four hundred twelve thousand, four hundred".