384780000 has 360 divisors, whose sum is σ = 1413503784. Its totient is φ = 91520000.

The previous prime is 384779971. The next prime is 384780013. The reversal of 384780000 is 87483.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 384780000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7259974 + ... + 7260026.

Almost surely, 2^384780000 is an apocalyptic number.

384780000 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 384780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706751892).

384780000 is an abundant number, since it is smaller than the sum of its proper divisors (1028723784).

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

384780000 is a wasteful number, since it uses less digits than its factorization.

384780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 384780000 is about 19615.8099501397. The cubic root of 384780000 is about 727.3400411180.

The spelling of 384780000 in words is "three hundred eighty-four million, seven hundred eighty thousand".