146004480 has 120 divisors (see below), whose sum is σ = 505734372. Its totient is φ = 38928384.

The previous prime is 146004421. The next prime is 146004487. The reversal of 146004480 is 84400641.

146004480 is a `hidden beast` number, since 14 + 600 + 4 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142850304 + 3154176 = 11952^2 + 1776^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (146004487) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19872 + ... + 26208.

Almost surely, 2^146004480 is an apocalyptic number.

146004480 is a gapful number since it is divisible by the number (10) 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 146004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252867186).

146004480 is an abundant number, since it is smaller than the sum of its proper divisors (359729892).

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

146004480 is an equidigital number, since it uses as much as digits as its factorization.

146004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 146004480 is about 12083.2313558915. The cubic root of 146004480 is about 526.5691286195.

The spelling of 146004480 in words is "one hundred forty-six million, four thousand, four hundred eighty".