386875440 has 240 divisors, whose sum is σ = 1540401408. Its totient is φ = 88397568.

The previous prime is 386875421. The next prime is 386875451. The reversal of 386875440 is 44578683.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134659 + ... + 137501.

Almost surely, 2^386875440 is an apocalyptic number.

386875440 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 386875440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770200704).

386875440 is an abundant number, since it is smaller than the sum of its proper divisors (1153525968).

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

386875440 is a wasteful number, since it uses less digits than its factorization.

386875440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 386875440 is about 19669.1494478028. The cubic root of 386875440 is about 728.6579709358.

It can be divided in two parts, 386 and 875440, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 386875440 in words is "three hundred eighty-six million, eight hundred seventy-five thousand, four hundred forty".