477840000 has 320 divisors, whose sum is σ = 1739818080. Its totient is φ = 115200000.

The previous prime is 477839917. The next prime is 477840007. The reversal of 477840000 is 48774.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 477840000.

It is not an unprimeable number, because it can be changed into a prime (477840007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2639910 + ... + 2640090.

Almost surely, 2^477840000 is an apocalyptic number.

477840000 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 477840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869909040).

477840000 is an abundant number, since it is smaller than the sum of its proper divisors (1261978080).

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

477840000 is a wasteful number, since it uses less digits than its factorization.

477840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 477840000 is about 21859.5516879921. The cubic root of 477840000 is about 781.7973018335.

Adding to 477840000 its reverse (48774), we get a palindrome (477888774).

The spelling of 477840000 in words is "four hundred seventy-seven million, eight hundred forty thousand".