384988896 has 48 divisors (see below), whose sum is σ = 1122886800. Its totient is φ = 128329344.

The previous prime is 384988867. The next prime is 384988897. The reversal of 384988896 is 698889483.

384988896 is a `hidden beast` number, since 384 + 98 + 88 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384988897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221931 + ... + 223658.

It is an arithmetic number, because the mean of its divisors is an integer number (23393475).

Almost surely, 2^384988896 is an apocalyptic number.

384988896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

384988896 is an abundant number, since it is smaller than the sum of its proper divisors (737897904).

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

384988896 is a wasteful number, since it uses less digits than its factorization.

384988896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445608 (or 445594 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The square root of 384988896 is about 19621.1339121876. The cubic root of 384988896 is about 727.4716409394.

The spelling of 384988896 in words is "three hundred eighty-four million, nine hundred eighty-eight thousand, eight hundred ninety-six".