477456 has 80 divisors (see below), whose sum is σ = 1488000. Its totient is φ = 131712.

The previous prime is 477439. The next prime is 477461. The reversal of 477456 is 654774.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

477456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 16450 + ... + 16478.

It is an arithmetic number, because the mean of its divisors is an integer number (18600).

2⁴⁷⁷⁴⁵⁶ 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 477456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744000).

477456 is an abundant number, since it is smaller than the sum of its proper divisors (1010544).

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

477456 is a wasteful number, since it uses less digits than its factorization.

477456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 41 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 477456 is about 690.9819100382. The cubic root of 477456 is about 78.1587824032.

It can be divided in two parts, 47 and 7456, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 477456 in words is "four hundred seventy-seven thousand, four hundred fifty-six".