477888480 has 288 divisors, whose sum is σ = 1743565824. Its totient is φ = 118914048.

The previous prime is 477888431. The next prime is 477888487. The reversal of 477888480 is 84888774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477888487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1556487 + ... + 1556793.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048).

Almost surely, 2^477888480 is an apocalyptic number.

477888480 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 477888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871782912).

477888480 is an abundant number, since it is smaller than the sum of its proper divisors (1265677344).

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

477888480 is a wasteful number, since it uses less digits than its factorization.

477888480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The square root of 477888480 is about 21860.6605572659. The cubic root of 477888480 is about 781.8237404263.

The spelling of 477888480 in words is "four hundred seventy-seven million, eight hundred eighty-eight thousand, four hundred eighty".