384693480 has 96 divisors (see below), whose sum is σ = 1279380960. Its totient is φ = 100195200.

The previous prime is 384693479. The next prime is 384693487. The reversal of 384693480 is 84396483.

384693480 is a `hidden beast` number, since 3 + 84 + 6 + 93 + 480 = 666.

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 (384693487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3055 + ... + 27905.

It is an arithmetic number, because the mean of its divisors is an integer number (13326885).

Almost surely, 2^384693480 is an apocalyptic number.

384693480 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 384693480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639690480).

384693480 is an abundant number, since it is smaller than the sum of its proper divisors (894687480).

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

384693480 is a wasteful number, since it uses less digits than its factorization.

384693480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24911 (or 24904 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 384693480 is about 19613.6044622094. The cubic root of 384693480 is about 727.2855214984.

The spelling of 384693480 in words is "three hundred eighty-four million, six hundred ninety-three thousand, four hundred eighty".