477408 has 24 divisors (see below), whose sum is σ = 1253448. Its totient is φ = 159104.

The previous prime is 477383. The next prime is 477409. The reversal of 477408 is 804774.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477409) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2391 + ... + 2582.

It is an arithmetic number, because the mean of its divisors is an integer number (52227).

2⁴⁷⁷⁴⁰⁸ is an apocalyptic number.

477408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

477408 is an abundant number, since it is smaller than the sum of its proper divisors (776040).

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

477408 is a wasteful number, since it uses less digits than its factorization.

477408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 477408 is about 690.9471759838. The cubic root of 477408 is about 78.1561631411.

The spelling of 477408 in words is "four hundred seventy-seven thousand, four hundred eight".