146864304 has 60 divisors (see below), whose sum is σ = 413603736. Its totient is φ = 48646656.

The previous prime is 146864303. The next prime is 146864317. The reversal of 146864304 is 403468641.

146864304 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 643 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (146864303) 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, 20344 + ... + 26600.

Almost surely, 2^146864304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146864304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206801868).

146864304 is an abundant number, since it is smaller than the sum of its proper divisors (266739432).

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

146864304 is a wasteful number, since it uses less digits than its factorization.

146864304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 146864304 is about 12118.7583522405. The cubic root of 146864304 is about 527.6007656979.

The spelling of 146864304 in words is "one hundred forty-six million, eight hundred sixty-four thousand, three hundred four".