385754440 has 32 divisors (see below), whose sum is σ = 872759160. Its totient is φ = 153446400.

The previous prime is 385754407. The next prime is 385754471. The reversal of 385754440 is 44457583.

It can be written as a sum of positive squares in 4 ways, for example, as 193599396 + 192155044 = 13914^2 + 13862^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 385754393 and 385754402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19401 + ... + 33880.

Almost surely, 2^385754440 is an apocalyptic number.

It is an amenable number.

385754440 is an abundant number, since it is smaller than the sum of its proper divisors (487004720).

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

385754440 is a wasteful number, since it uses less digits than its factorization.

385754440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53473 (or 53469 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The square root of 385754440 is about 19640.6323727114. The cubic root of 385754440 is about 727.9535100933.

The spelling of 385754440 in words is "three hundred eighty-five million, seven hundred fifty-four thousand, four hundred forty".