477794320 has 160 divisors (see below), whose sum is σ = 1215922176. Its totient is φ = 174182400.

The previous prime is 477794297. The next prime is 477794321. The reversal of 477794320 is 23497774.

It is not an unprimeable number, because it can be changed into a prime (477794321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3762097 + ... + 3762223.

Almost surely, 2^477794320 is an apocalyptic number.

477794320 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 477794320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607961088).

477794320 is an abundant number, since it is smaller than the sum of its proper divisors (738127856).

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

477794320 is a wasteful number, since it uses less digits than its factorization.

477794320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 43.

The square root of 477794320 is about 21858.5068108506. The cubic root of 477794320 is about 781.7723885858.

The spelling of 477794320 in words is "four hundred seventy-seven million, seven hundred ninety-four thousand, three hundred twenty".