146400384 has 64 divisors (see below), whose sum is σ = 418803840. Its totient is φ = 45044736.

The previous prime is 146400361. The next prime is 146400391. The reversal of 146400384 is 483004641.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 9672 + ... + 19655.

It is an arithmetic number, because the mean of its divisors is an integer number (6543810).

Almost surely, 2^146400384 is an apocalyptic number.

It is an amenable number.

146400384 is an abundant number, since it is smaller than the sum of its proper divisors (272403456).

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

146400384 is a wasteful number, since it uses less digits than its factorization.

146400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29357 (or 29345 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 146400384 is about 12099.6026381035. The cubic root of 146400384 is about 527.0446452581.

The spelling of 146400384 in words is "one hundred forty-six million, four hundred thousand, three hundred eighty-four".