477472320 has 420 divisors, whose sum is σ = 1856026260. Its totient is φ = 116453376.

The previous prime is 477472291. The next prime is 477472321. The reversal of 477472320 is 23274774.

It can be written as a sum of positive squares in 6 ways, for example, as 59351616 + 418120704 = 7704^2 + 20448^2 .

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

It is not an unprimeable number, because it can be changed into a prime (477472321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4380426 + ... + 4380534.

Almost surely, 2^477472320 is an apocalyptic number.

477472320 is a gapful number since it is divisible by the number (40) 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 477472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928013130).

477472320 is an abundant number, since it is smaller than the sum of its proper divisors (1378553940).

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

477472320 is a wasteful number, since it uses less digits than its factorization.

477472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 477472320 is about 21851.1400160266. The cubic root of 477472320 is about 781.5967291236.

The spelling of 477472320 in words is "four hundred seventy-seven million, four hundred seventy-two thousand, three hundred twenty".