146826304 has 56 divisors (see below), whose sum is σ = 303580800. Its totient is φ = 70371840.

The previous prime is 146826301. The next prime is 146826307. The reversal of 146826304 is 403628641.

It is an interprime number because it is at equal distance from previous prime (146826301) and next prime (146826307).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 146826304.

It is not an unprimeable number, because it can be changed into a prime (146826301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443419 + ... + 443749.

Almost surely, 2^146826304 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 146826304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151790400).

146826304 is an abundant number, since it is smaller than the sum of its proper divisors (156754496).

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

146826304 is a wasteful number, since it uses less digits than its factorization.

146826304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 146826304 is about 12117.1904334297. The cubic root of 146826304 is about 527.5552575702. Note that the first 3 decimals are identical.

It can be divided in two parts, 1468 and 26304, that added together give a palindrome (27772).

The spelling of 146826304 in words is "one hundred forty-six million, eight hundred twenty-six thousand, three hundred four".