384915960 has 192 divisors, whose sum is σ = 1469875680. Its totient is φ = 86123520.

The previous prime is 384915959. The next prime is 384915977. The reversal of 384915960 is 69519483.

It is a happy number.

It is a super-4 number, since 4×384915960⁴ (a number of 35 digits) contains 4444 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 47742 + ... + 55218.

Almost surely, 2^384915960 is an apocalyptic number.

384915960 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 384915960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734937840).

384915960 is an abundant number, since it is smaller than the sum of its proper divisors (1084959720).

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

384915960 is a wasteful number, since it uses less digits than its factorization.

384915960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7511 counting only the distinct ones).

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

The square root of 384915960 is about 19619.2752159706. The cubic root of 384915960 is about 727.4256982960.

The spelling of 384915960 in words is "three hundred eighty-four million, nine hundred fifteen thousand, nine hundred sixty".