654400 has 42 divisors (see below), whose sum is σ = 1614170. Its totient is φ = 261120.

The previous prime is 654397. The next prime is 654413. The reversal of 654400 is 4456.

It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 506944 = 384^2 + 712^2 .

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1396 + ... + 1804.

2⁶⁵⁴⁴⁰⁰ 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 654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807085).

654400 is an abundant number, since it is smaller than the sum of its proper divisors (959770).

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

654400 is a wasteful number, since it uses less digits than its factorization.

654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 654400 is about 808.9499366463. The cubic root of 654400 is about 86.8189302295.

Adding to 654400 its reverse (4456), we get a palindrome (658856).

It can be divided in two parts, 65 and 4400, that added together give a triangular number (4465 = T₉₄).

The spelling of 654400 in words is "six hundred fifty-four thousand, four hundred".