630120384 has 168 divisors, whose sum is σ = 1934919168. Its totient is φ = 203109120.

The previous prime is 630120371. The next prime is 630120401. The reversal of 630120384 is 483021036.

It is a happy number.

630120384 is a `hidden beast` number, since 630 + 1 + 20 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481459 + ... + 482765.

It is an arithmetic number, because the mean of its divisors is an integer number (11517376).

Almost surely, 2^630120384 is an apocalyptic number.

630120384 is a gapful number since it is divisible by the number (64) 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 630120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967459584).

630120384 is an abundant number, since it is smaller than the sum of its proper divisors (1304798784).

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

630120384 is a wasteful number, since it uses less digits than its factorization.

630120384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 630120384 is about 25102.1987881540. The cubic root of 630120384 is about 857.3164882538.

The spelling of 630120384 in words is "six hundred thirty million, one hundred twenty thousand, three hundred eighty-four".