384885540 has 192 divisors, whose sum is σ = 1303948800. Its totient is φ = 93685248.

The previous prime is 384885521. The next prime is 384885541. The reversal of 384885540 is 45588483.

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

It is not an unprimeable number, because it can be changed into a prime (384885541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764929 + ... + 765431.

It is an arithmetic number, because the mean of its divisors is an integer number (6791400).

Almost surely, 2^384885540 is an apocalyptic number.

384885540 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 384885540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651974400).

384885540 is an abundant number, since it is smaller than the sum of its proper divisors (919063260).

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

384885540 is a wasteful number, since it uses less digits than its factorization.

384885540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 384885540 is about 19618.4999426562. The cubic root of 384885540 is about 727.4065349158.

The spelling of 384885540 in words is "three hundred eighty-four million, eight hundred eighty-five thousand, five hundred forty".