477648 has 60 divisors (see below), whose sum is σ = 1392768. Its totient is φ = 152640.

The previous prime is 477637. The next prime is 477671. The reversal of 477648 is 846774.

It is a happy number.

477648 is a `hidden beast` number, since 4 + 7 + 7 + 648 = 666.

It is a super-2 number, since 2×477648² = 456295223808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4411 + ... + 4517.

2⁴⁷⁷⁶⁴⁸ is an apocalyptic number.

477648 is a gapful number since it is divisible by the number (48) 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 477648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384).

477648 is an abundant number, since it is smaller than the sum of its proper divisors (915120).

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

477648 is a wasteful number, since it uses less digits than its factorization.

477648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 477648 is about 691.1208287991. The cubic root of 477648 is about 78.1692576967.

The spelling of 477648 in words is "four hundred seventy-seven thousand, six hundred forty-eight".