477820480 has 28 divisors (see below), whose sum is σ = 1137810780. Its totient is φ = 191128064.

The previous prime is 477820451. The next prime is 477820481. The reversal of 477820480 is 84028774.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 345662464 + 132158016 = 18592^2 + 11496^2 .

It is a super-2 number, since 2×477820480² = 456624822214860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (477820481) 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, 746275 + ... + 746914.

Almost surely, 2^477820480 is an apocalyptic number.

477820480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

477820480 is an abundant number, since it is smaller than the sum of its proper divisors (659990300).

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

477820480 is a wasteful number, since it uses less digits than its factorization.

477820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493206 (or 1493196 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 477820480 is about 21859.1051966909. The cubic root of 477820480 is about 781.7866560866.

The spelling of 477820480 in words is "four hundred seventy-seven million, eight hundred twenty thousand, four hundred eighty".