654456 has 64 divisors (see below), whose sum is σ = 1860480. Its totient is φ = 190080.

The previous prime is 654439. The next prime is 654491.

654456 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (14400) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

654456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9735 + ... + 9801.

It is an arithmetic number, because the mean of its divisors is an integer number (29070).

2⁶⁵⁴⁴⁵⁶ is an apocalyptic number.

654456 is a gapful number since it is divisible by the number (66) 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 654456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930240).

654456 is an abundant number, since it is smaller than the sum of its proper divisors (1206024).

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

654456 is a wasteful number, since it uses less digits than its factorization.

654456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 654456 is about 808.9845486782. The cubic root of 654456 is about 86.8214066565.

The spelling of 654456 in words is "six hundred fifty-four thousand, four hundred fifty-six".