384545040 has 80 divisors (see below), whose sum is σ = 1300470336. Its totient is φ = 93222400.

The previous prime is 384545039. The next prime is 384545069. The reversal of 384545040 is 40545483.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 384544992 and 384545010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70191 + ... + 75470.

Almost surely, 2^384545040 is an apocalyptic number.

384545040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384545040 is an abundant number, since it is smaller than the sum of its proper divisors (915925296).

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

384545040 is a wasteful number, since it uses less digits than its factorization.

384545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145688 (or 145682 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 384545040 is about 19609.8199889749. The cubic root of 384545040 is about 727.1919646302.

The spelling of 384545040 in words is "three hundred eighty-four million, five hundred forty-five thousand, forty".