384674400 has 288 divisors, whose sum is σ = 1518652800. Its totient is φ = 93196800.

The previous prime is 384674387. The next prime is 384674417. The reversal of 384674400 is 4476483.

384674400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236791 + ... + 238409.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2^384674400 is an apocalyptic number.

384674400 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 384674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759326400).

384674400 is an abundant number, since it is smaller than the sum of its proper divisors (1133978400).

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

384674400 is a wasteful number, since it uses less digits than its factorization.

384674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 384674400 is about 19613.1180590950. The cubic root of 384674400 is about 727.2734973477.

The spelling of 384674400 in words is "three hundred eighty-four million, six hundred seventy-four thousand, four hundred".