654304 has 48 divisors (see below), whose sum is σ = 1548288. Its totient is φ = 266112.

The previous prime is 654301. The next prime is 654307. The reversal of 654304 is 403456.

It is an interprime number because it is at equal distance from previous prime (654301) and next prime (654307).

It is a super-2 number, since 2×654304² = 856227448832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5089 + ... + 5215.

It is an arithmetic number, because the mean of its divisors is an integer number (32256).

2⁶⁵⁴³⁰⁴ 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 654304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774144).

654304 is an abundant number, since it is smaller than the sum of its proper divisors (893984).

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

654304 is a wasteful number, since it uses less digits than its factorization.

654304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 654304 is about 808.8905982888. The cubic root of 654304 is about 86.8146845975.

Subtracting from 654304 its product of nonzero digits (1440), we obtain a square (652864 = 808²).

The spelling of 654304 in words is "six hundred fifty-four thousand, three hundred four".