477284928 has 224 divisors, whose sum is σ = 1422074880. Its totient is φ = 140574720.

The previous prime is 477284917. The next prime is 477284957. The reversal of 477284928 is 829482774.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5362708 + ... + 5362796.

Almost surely, 2^477284928 is an apocalyptic number.

477284928 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 477284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711037440).

477284928 is an abundant number, since it is smaller than the sum of its proper divisors (944789952).

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

477284928 is a wasteful number, since it uses less digits than its factorization.

477284928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 477284928 is about 21846.8516724951. The cubic root of 477284928 is about 781.4944655066.

The spelling of 477284928 in words is "four hundred seventy-seven million, two hundred eighty-four thousand, nine hundred twenty-eight".